TSTP Solution File: GRP328-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : GRP328-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 16 22:27:09 EDT 2022

% Result   : Unsatisfiable 0.99s 0.88s
% Output   : Proof 1.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP328-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Aug 31 16:25:35 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34  Usage: tptp [options] [-file:]file
% 0.13/0.34    -h, -?       prints this message.
% 0.13/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.34    -m, -model   generate model.
% 0.13/0.34    -p, -proof   generate proof.
% 0.13/0.34    -c, -core    generate unsat core of named formulas.
% 0.13/0.34    -st, -statistics display statistics.
% 0.13/0.34    -t:timeout   set timeout (in second).
% 0.13/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34    -<param>:<value> configuration parameter and value.
% 0.13/0.34    -o:<output-file> file to place output in.
% 0.99/0.88  % SZS status Unsatisfiable
% 0.99/0.88  % SZS output start Proof
% 0.99/0.88  tff(sk_c7_type, type, (
% 0.99/0.88     sk_c7: $i)).
% 0.99/0.88  tff(inverse_type, type, (
% 0.99/0.88     inverse: $i > $i)).
% 0.99/0.88  tff(multiply_type, type, (
% 0.99/0.88     multiply: ( $i * $i ) > $i)).
% 0.99/0.88  tff(sk_c1_type, type, (
% 0.99/0.88     sk_c1: $i)).
% 0.99/0.88  tff(identity_type, type, (
% 0.99/0.88     identity: $i)).
% 0.99/0.88  tff(sk_c8_type, type, (
% 0.99/0.88     sk_c8: $i)).
% 0.99/0.88  tff(sk_c4_type, type, (
% 0.99/0.88     sk_c4: $i)).
% 0.99/0.88  tff(sk_c5_type, type, (
% 0.99/0.88     sk_c5: $i)).
% 0.99/0.88  tff(sk_c6_type, type, (
% 0.99/0.88     sk_c6: $i)).
% 0.99/0.88  tff(sk_c2_type, type, (
% 0.99/0.88     sk_c2: $i)).
% 0.99/0.88  tff(sk_c3_type, type, (
% 0.99/0.88     sk_c3: $i)).
% 0.99/0.88  tff(1,plain,
% 0.99/0.88      (^[Z: $i, Y: $i, X: $i] : refl((multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))))),
% 0.99/0.88      inference(bind,[status(th)],[])).
% 0.99/0.88  tff(2,plain,
% 0.99/0.88      (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.99/0.88      inference(quant_intro,[status(thm)],[1])).
% 0.99/0.88  tff(3,plain,
% 0.99/0.88      (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.99/0.88      inference(rewrite,[status(thm)],[])).
% 0.99/0.88  tff(4,axiom,(![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','associativity')).
% 0.99/0.88  tff(5,plain,
% 0.99/0.88      (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.99/0.88      inference(modus_ponens,[status(thm)],[4, 3])).
% 0.99/0.88  tff(6,plain,(
% 0.99/0.88      ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.99/0.88      inference(skolemize,[status(sab)],[5])).
% 0.99/0.88  tff(7,plain,
% 0.99/0.88      (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 0.99/0.88      inference(modus_ponens,[status(thm)],[6, 2])).
% 0.99/0.88  tff(8,plain,
% 0.99/0.88      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c5, multiply(sk_c7, sk_c6))), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 0.99/0.88      inference(quant_inst,[status(thm)],[])).
% 0.99/0.88  tff(9,plain,
% 0.99/0.88      (multiply(multiply(sk_c6, multiply(sk_c5, multiply(sk_c7, sk_c6))), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 0.99/0.88      inference(unit_resolution,[status(thm)],[8, 7])).
% 0.99/0.88  tff(10,plain,
% 0.99/0.88      (^[X: $i] : refl((multiply(identity, X) = X) <=> (multiply(identity, X) = X))),
% 0.99/0.88      inference(bind,[status(th)],[])).
% 0.99/0.88  tff(11,plain,
% 0.99/0.88      (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.99/0.88      inference(quant_intro,[status(thm)],[10])).
% 0.99/0.88  tff(12,plain,
% 0.99/0.88      (![X: $i] : (multiply(identity, X) = X) <=> ![X: $i] : (multiply(identity, X) = X)),
% 0.99/0.88      inference(rewrite,[status(thm)],[])).
% 0.99/0.88  tff(13,axiom,(![X: $i] : (multiply(identity, X) = X)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_identity')).
% 0.99/0.88  tff(14,plain,
% 0.99/0.88      (![X: $i] : (multiply(identity, X) = X)),
% 0.99/0.88      inference(modus_ponens,[status(thm)],[13, 12])).
% 0.99/0.88  tff(15,plain,(
% 0.99/0.88      ![X: $i] : (multiply(identity, X) = X)),
% 0.99/0.88      inference(skolemize,[status(sab)],[14])).
% 0.99/0.88  tff(16,plain,
% 0.99/0.88      (![X: $i] : (multiply(identity, X) = X)),
% 0.99/0.88      inference(modus_ponens,[status(thm)],[15, 11])).
% 0.99/0.88  tff(17,plain,
% 0.99/0.88      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c8) = sk_c8)),
% 0.99/0.88      inference(quant_inst,[status(thm)],[])).
% 0.99/0.88  tff(18,plain,
% 0.99/0.88      (multiply(identity, sk_c8) = sk_c8),
% 0.99/0.88      inference(unit_resolution,[status(thm)],[17, 16])).
% 0.99/0.88  tff(19,assumption,(~(multiply(sk_c7, sk_c6) = sk_c8)), introduced(assumption)).
% 0.99/0.88  tff(20,plain,
% 0.99/0.88      (((inverse(sk_c2) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8))),
% 0.99/0.88      inference(rewrite,[status(thm)],[])).
% 0.99/0.88  tff(21,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_26')).
% 0.99/0.88  tff(22,plain,
% 0.99/0.88      ((inverse(sk_c2) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 0.99/0.88      inference(modus_ponens,[status(thm)],[21, 20])).
% 0.99/0.88  tff(23,plain,
% 0.99/0.88      (inverse(sk_c2) = sk_c8),
% 0.99/0.88      inference(unit_resolution,[status(thm)],[22, 19])).
% 0.99/0.88  tff(24,plain,
% 0.99/0.88      (sk_c8 = inverse(sk_c2)),
% 0.99/0.88      inference(symmetry,[status(thm)],[23])).
% 0.99/0.88  tff(25,plain,
% 0.99/0.88      (multiply(sk_c8, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.99/0.88      inference(monotonicity,[status(thm)],[24])).
% 0.99/0.88  tff(26,plain,
% 0.99/0.88      (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c8, sk_c2)),
% 0.99/0.88      inference(symmetry,[status(thm)],[25])).
% 0.99/0.88  tff(27,plain,
% 0.99/0.88      (^[X: $i] : refl((multiply(inverse(X), X) = identity) <=> (multiply(inverse(X), X) = identity))),
% 0.99/0.88      inference(bind,[status(th)],[])).
% 0.99/0.88  tff(28,plain,
% 0.99/0.88      (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.99/0.88      inference(quant_intro,[status(thm)],[27])).
% 0.99/0.88  tff(29,plain,
% 0.99/0.88      (![X: $i] : (multiply(inverse(X), X) = identity) <=> ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.99/0.88      inference(rewrite,[status(thm)],[])).
% 0.99/0.88  tff(30,axiom,(![X: $i] : (multiply(inverse(X), X) = identity)), file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax','left_inverse')).
% 0.99/0.88  tff(31,plain,
% 0.99/0.88      (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.99/0.88      inference(modus_ponens,[status(thm)],[30, 29])).
% 0.99/0.88  tff(32,plain,(
% 0.99/0.88      ![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.99/0.88      inference(skolemize,[status(sab)],[31])).
% 0.99/0.88  tff(33,plain,
% 0.99/0.88      (![X: $i] : (multiply(inverse(X), X) = identity)),
% 0.99/0.88      inference(modus_ponens,[status(thm)],[32, 28])).
% 0.99/0.88  tff(34,plain,
% 0.99/0.88      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c2), sk_c2) = identity)),
% 0.99/0.88      inference(quant_inst,[status(thm)],[])).
% 0.99/0.88  tff(35,plain,
% 0.99/0.88      (multiply(inverse(sk_c2), sk_c2) = identity),
% 0.99/0.88      inference(unit_resolution,[status(thm)],[34, 33])).
% 0.99/0.88  tff(36,plain,
% 0.99/0.88      (identity = multiply(inverse(sk_c2), sk_c2)),
% 0.99/0.88      inference(symmetry,[status(thm)],[35])).
% 0.99/0.88  tff(37,plain,
% 0.99/0.88      (identity = multiply(sk_c8, sk_c2)),
% 0.99/0.88      inference(transitivity,[status(thm)],[36, 26])).
% 0.99/0.88  tff(38,plain,
% 0.99/0.88      (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 0.99/0.88      inference(monotonicity,[status(thm)],[37])).
% 0.99/0.88  tff(39,plain,
% 0.99/0.88      (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(identity, sk_c8)),
% 0.99/0.88      inference(symmetry,[status(thm)],[38])).
% 0.99/0.88  tff(40,plain,
% 0.99/0.88      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c8)))),
% 0.99/0.88      inference(quant_inst,[status(thm)],[])).
% 0.99/0.88  tff(41,plain,
% 0.99/0.88      (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 0.99/0.88      inference(unit_resolution,[status(thm)],[40, 7])).
% 0.99/0.88  tff(42,plain,
% 0.99/0.88      (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 0.99/0.88      inference(symmetry,[status(thm)],[41])).
% 0.99/0.88  tff(43,plain,
% 0.99/0.88      (((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c7, sk_c6) = sk_c8)) <=> ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c7, sk_c6) = sk_c8))),
% 0.99/0.88      inference(rewrite,[status(thm)],[])).
% 0.99/0.88  tff(44,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c7, sk_c6) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_21')).
% 0.99/0.88  tff(45,plain,
% 0.99/0.88      ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 0.99/0.88      inference(modus_ponens,[status(thm)],[44, 43])).
% 0.99/0.88  tff(46,plain,
% 0.99/0.88      (multiply(sk_c2, sk_c8) = sk_c3),
% 0.99/0.88      inference(unit_resolution,[status(thm)],[45, 19])).
% 0.99/0.88  tff(47,plain,
% 0.99/0.88      (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 0.99/0.88      inference(monotonicity,[status(thm)],[46])).
% 0.99/0.88  tff(48,plain,
% 0.99/0.88      (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 0.99/0.88      inference(symmetry,[status(thm)],[47])).
% 0.99/0.88  tff(49,plain,
% 0.99/0.88      (((multiply(sk_c7, sk_c6) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((multiply(sk_c7, sk_c6) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 0.99/0.88      inference(rewrite,[status(thm)],[])).
% 0.99/0.88  tff(50,plain,
% 0.99/0.88      (((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c7, sk_c6) = sk_c8)) <=> ((multiply(sk_c7, sk_c6) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 0.99/0.88      inference(rewrite,[status(thm)],[])).
% 0.99/0.88  tff(51,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c7, sk_c6) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_16')).
% 0.99/0.88  tff(52,plain,
% 0.99/0.88      ((multiply(sk_c7, sk_c6) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 0.99/0.88      inference(modus_ponens,[status(thm)],[51, 50])).
% 0.99/0.88  tff(53,plain,
% 0.99/0.88      ((multiply(sk_c7, sk_c6) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 0.99/0.88      inference(modus_ponens,[status(thm)],[52, 49])).
% 0.99/0.88  tff(54,plain,
% 0.99/0.88      (multiply(sk_c8, sk_c3) = sk_c7),
% 0.99/0.88      inference(unit_resolution,[status(thm)],[53, 19])).
% 0.99/0.88  tff(55,plain,
% 0.99/0.88      (sk_c7 = multiply(sk_c8, sk_c3)),
% 0.99/0.88      inference(symmetry,[status(thm)],[54])).
% 0.99/0.88  tff(56,plain,
% 0.99/0.88      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c7) = sk_c7)),
% 0.99/0.88      inference(quant_inst,[status(thm)],[])).
% 0.99/0.88  tff(57,plain,
% 0.99/0.88      (multiply(identity, sk_c7) = sk_c7),
% 0.99/0.88      inference(unit_resolution,[status(thm)],[56, 16])).
% 0.99/0.88  tff(58,plain,
% 0.99/0.88      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c1), sk_c1) = identity)),
% 0.99/0.88      inference(quant_inst,[status(thm)],[])).
% 0.99/0.88  tff(59,plain,
% 0.99/0.88      (multiply(inverse(sk_c1), sk_c1) = identity),
% 0.99/0.88      inference(unit_resolution,[status(thm)],[58, 33])).
% 0.99/0.88  tff(60,plain,
% 0.99/0.88      (((inverse(sk_c1) = sk_c7) | (multiply(sk_c7, sk_c6) = sk_c8)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c7, sk_c6) = sk_c8))),
% 0.99/0.88      inference(rewrite,[status(thm)],[])).
% 0.99/0.88  tff(61,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c7, sk_c6) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_11')).
% 0.99/0.88  tff(62,plain,
% 0.99/0.88      ((inverse(sk_c1) = sk_c7) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 0.99/0.88      inference(modus_ponens,[status(thm)],[61, 60])).
% 0.99/0.88  tff(63,plain,
% 0.99/0.88      (inverse(sk_c1) = sk_c7),
% 0.99/0.88      inference(unit_resolution,[status(thm)],[62, 19])).
% 0.99/0.88  tff(64,plain,
% 0.99/0.88      (sk_c7 = inverse(sk_c1)),
% 0.99/0.88      inference(symmetry,[status(thm)],[63])).
% 0.99/0.88  tff(65,plain,
% 0.99/0.88      (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.99/0.88      inference(monotonicity,[status(thm)],[64])).
% 0.99/0.88  tff(66,plain,
% 0.99/0.88      (multiply(sk_c7, sk_c1) = identity),
% 0.99/0.88      inference(transitivity,[status(thm)],[65, 59])).
% 0.99/0.88  tff(67,plain,
% 0.99/0.88      (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 0.99/0.88      inference(monotonicity,[status(thm)],[66])).
% 0.99/0.88  tff(68,plain,
% 0.99/0.88      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7)))),
% 0.99/0.88      inference(quant_inst,[status(thm)],[])).
% 0.99/0.88  tff(69,plain,
% 0.99/0.88      (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 0.99/0.88      inference(unit_resolution,[status(thm)],[68, 7])).
% 0.99/0.88  tff(70,plain,
% 0.99/0.88      (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.99/0.88      inference(symmetry,[status(thm)],[69])).
% 0.99/0.88  tff(71,plain,
% 0.99/0.88      (((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8))),
% 0.99/0.88      inference(rewrite,[status(thm)],[])).
% 0.99/0.88  tff(72,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_6')).
% 0.99/0.88  tff(73,plain,
% 0.99/0.88      ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 0.99/0.88      inference(modus_ponens,[status(thm)],[72, 71])).
% 0.99/0.88  tff(74,plain,
% 0.99/0.88      (multiply(sk_c1, sk_c7) = sk_c8),
% 0.99/0.88      inference(unit_resolution,[status(thm)],[73, 19])).
% 0.99/0.88  tff(75,plain,
% 0.99/0.88      (sk_c8 = multiply(sk_c1, sk_c7)),
% 0.99/0.88      inference(symmetry,[status(thm)],[74])).
% 0.99/0.88  tff(76,plain,
% 0.99/0.88      (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 0.99/0.88      inference(monotonicity,[status(thm)],[75])).
% 0.99/0.88  tff(77,plain,
% 0.99/0.88      (sk_c7 = sk_c8),
% 0.99/0.88      inference(transitivity,[status(thm)],[55, 48, 42, 39, 18])).
% 0.99/0.88  tff(78,plain,
% 0.99/0.88      (multiply(sk_c7, sk_c7) = multiply(sk_c7, sk_c8)),
% 0.99/0.88      inference(monotonicity,[status(thm)],[77])).
% 0.99/0.88  tff(79,plain,
% 0.99/0.88      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c4), sk_c4) = identity)),
% 0.99/0.88      inference(quant_inst,[status(thm)],[])).
% 0.99/0.88  tff(80,plain,
% 0.99/0.89      (multiply(inverse(sk_c4), sk_c4) = identity),
% 0.99/0.89      inference(unit_resolution,[status(thm)],[79, 33])).
% 0.99/0.89  tff(81,assumption,(~(multiply(sk_c7, sk_c8) = sk_c6)), introduced(assumption)).
% 0.99/0.89  tff(82,plain,
% 0.99/0.89      (((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8)) <=> ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8))),
% 0.99/0.89      inference(rewrite,[status(thm)],[])).
% 0.99/0.89  tff(83,axiom,((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_5')).
% 0.99/0.89  tff(84,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[83, 82])).
% 0.99/0.89  tff(85,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[84, 82])).
% 0.99/0.89  tff(86,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[85, 82])).
% 0.99/0.89  tff(87,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[86, 82])).
% 0.99/0.89  tff(88,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[87, 82])).
% 0.99/0.89  tff(89,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[88, 82])).
% 0.99/0.89  tff(90,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[89, 82])).
% 0.99/0.89  tff(91,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c4) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[90, 82])).
% 0.99/0.89  tff(92,plain,
% 0.99/0.89      (inverse(sk_c4) = sk_c8),
% 0.99/0.89      inference(unit_resolution,[status(thm)],[91, 81])).
% 0.99/0.89  tff(93,plain,
% 0.99/0.89      (sk_c8 = inverse(sk_c4)),
% 0.99/0.89      inference(symmetry,[status(thm)],[92])).
% 0.99/0.89  tff(94,plain,
% 0.99/0.89      (multiply(sk_c8, sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 0.99/0.89      inference(monotonicity,[status(thm)],[93])).
% 0.99/0.89  tff(95,plain,
% 0.99/0.89      (multiply(sk_c8, sk_c4) = identity),
% 0.99/0.89      inference(transitivity,[status(thm)],[94, 80])).
% 0.99/0.89  tff(96,plain,
% 0.99/0.89      (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(identity, sk_c8)),
% 0.99/0.89      inference(monotonicity,[status(thm)],[95])).
% 0.99/0.89  tff(97,plain,
% 0.99/0.89      (multiply(inverse(sk_c4), sk_c4) = multiply(sk_c8, sk_c4)),
% 0.99/0.89      inference(symmetry,[status(thm)],[94])).
% 0.99/0.89  tff(98,plain,
% 0.99/0.89      (identity = multiply(inverse(sk_c4), sk_c4)),
% 0.99/0.89      inference(symmetry,[status(thm)],[80])).
% 0.99/0.89  tff(99,plain,
% 0.99/0.89      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c8), sk_c8) = identity)),
% 0.99/0.89      inference(quant_inst,[status(thm)],[])).
% 0.99/0.89  tff(100,plain,
% 0.99/0.89      (multiply(inverse(sk_c8), sk_c8) = identity),
% 0.99/0.89      inference(unit_resolution,[status(thm)],[99, 33])).
% 0.99/0.89  tff(101,plain,
% 0.99/0.89      (((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8)) <=> ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8))),
% 0.99/0.89      inference(rewrite,[status(thm)],[])).
% 0.99/0.89  tff(102,axiom,((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_1')).
% 0.99/0.89  tff(103,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[102, 101])).
% 0.99/0.89  tff(104,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[103, 101])).
% 0.99/0.89  tff(105,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[104, 101])).
% 0.99/0.89  tff(106,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[105, 101])).
% 0.99/0.89  tff(107,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[106, 101])).
% 0.99/0.89  tff(108,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[107, 101])).
% 0.99/0.89  tff(109,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[108, 101])).
% 0.99/0.89  tff(110,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c7, sk_c6) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[109, 101])).
% 0.99/0.89  tff(111,plain,
% 0.99/0.89      (multiply(sk_c7, sk_c6) = sk_c8),
% 0.99/0.89      inference(unit_resolution,[status(thm)],[110, 81])).
% 0.99/0.89  tff(112,assumption,(~(inverse(sk_c8) = sk_c6)), introduced(assumption)).
% 0.99/0.89  tff(113,plain,
% 0.99/0.89      (((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c8) = sk_c6)) <=> ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c8) = sk_c6))),
% 0.99/0.89      inference(rewrite,[status(thm)],[])).
% 0.99/0.89  tff(114,axiom,((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_2')).
% 0.99/0.89  tff(115,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c8) = sk_c6)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[114, 113])).
% 0.99/0.89  tff(116,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c8) = sk_c6)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[115, 113])).
% 0.99/0.89  tff(117,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c8) = sk_c6)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[116, 113])).
% 0.99/0.89  tff(118,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c8) = sk_c6)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[117, 113])).
% 0.99/0.89  tff(119,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c8) = sk_c6)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[118, 113])).
% 0.99/0.89  tff(120,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c8) = sk_c6)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[119, 113])).
% 0.99/0.89  tff(121,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c8) = sk_c6)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[120, 113])).
% 0.99/0.89  tff(122,plain,
% 0.99/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (inverse(sk_c8) = sk_c6)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[121, 113])).
% 0.99/0.89  tff(123,plain,
% 0.99/0.89      (multiply(sk_c7, sk_c8) = sk_c6),
% 0.99/0.89      inference(unit_resolution,[status(thm)],[122, 112])).
% 0.99/0.89  tff(124,plain,
% 0.99/0.89      (((inverse(sk_c8) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c8)) <=> ((inverse(sk_c8) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 0.99/0.89      inference(rewrite,[status(thm)],[])).
% 0.99/0.89  tff(125,plain,
% 0.99/0.89      (((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c8) = sk_c6)) <=> ((inverse(sk_c8) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 0.99/0.89      inference(rewrite,[status(thm)],[])).
% 0.99/0.89  tff(126,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_7')).
% 0.99/0.89  tff(127,plain,
% 0.99/0.89      ((inverse(sk_c8) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[126, 125])).
% 0.99/0.89  tff(128,plain,
% 0.99/0.89      ((inverse(sk_c8) = sk_c6) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[127, 124])).
% 0.99/0.89  tff(129,plain,
% 0.99/0.89      (multiply(sk_c1, sk_c7) = sk_c8),
% 0.99/0.89      inference(unit_resolution,[status(thm)],[128, 112])).
% 0.99/0.89  tff(130,plain,
% 0.99/0.89      (sk_c8 = multiply(sk_c1, sk_c7)),
% 0.99/0.89      inference(symmetry,[status(thm)],[129])).
% 0.99/0.89  tff(131,plain,
% 0.99/0.89      (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 0.99/0.89      inference(monotonicity,[status(thm)],[130])).
% 0.99/0.89  tff(132,plain,
% 0.99/0.89      (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c8)),
% 0.99/0.89      inference(symmetry,[status(thm)],[131])).
% 0.99/0.89  tff(133,plain,
% 0.99/0.89      (((inverse(sk_c1) = sk_c7) | (inverse(sk_c8) = sk_c6)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c8) = sk_c6))),
% 0.99/0.89      inference(rewrite,[status(thm)],[])).
% 0.99/0.89  tff(134,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_12')).
% 0.99/0.89  tff(135,plain,
% 0.99/0.89      ((inverse(sk_c1) = sk_c7) | (inverse(sk_c8) = sk_c6)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[134, 133])).
% 0.99/0.89  tff(136,plain,
% 0.99/0.89      (inverse(sk_c1) = sk_c7),
% 0.99/0.89      inference(unit_resolution,[status(thm)],[135, 112])).
% 0.99/0.89  tff(137,plain,
% 0.99/0.89      (sk_c7 = inverse(sk_c1)),
% 0.99/0.89      inference(symmetry,[status(thm)],[136])).
% 0.99/0.89  tff(138,plain,
% 0.99/0.89      (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 0.99/0.89      inference(monotonicity,[status(thm)],[137])).
% 0.99/0.89  tff(139,plain,
% 0.99/0.89      (multiply(sk_c7, sk_c1) = identity),
% 0.99/0.89      inference(transitivity,[status(thm)],[138, 59])).
% 0.99/0.89  tff(140,plain,
% 0.99/0.89      (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 0.99/0.89      inference(monotonicity,[status(thm)],[139])).
% 0.99/0.89  tff(141,plain,
% 0.99/0.89      (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 0.99/0.89      inference(symmetry,[status(thm)],[140])).
% 0.99/0.89  tff(142,plain,
% 0.99/0.89      (sk_c7 = multiply(identity, sk_c7)),
% 0.99/0.89      inference(symmetry,[status(thm)],[57])).
% 0.99/0.89  tff(143,plain,
% 0.99/0.89      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c1) = sk_c1)),
% 0.99/0.89      inference(quant_inst,[status(thm)],[])).
% 0.99/0.89  tff(144,plain,
% 0.99/0.89      (multiply(identity, sk_c1) = sk_c1),
% 0.99/0.89      inference(unit_resolution,[status(thm)],[143, 16])).
% 0.99/0.89  tff(145,plain,
% 0.99/0.89      (((inverse(sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c6)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c6))),
% 0.99/0.89      inference(rewrite,[status(thm)],[])).
% 0.99/0.89  tff(146,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_27')).
% 0.99/0.89  tff(147,plain,
% 0.99/0.89      ((inverse(sk_c2) = sk_c8) | (inverse(sk_c8) = sk_c6)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[146, 145])).
% 0.99/0.89  tff(148,plain,
% 0.99/0.89      (inverse(sk_c2) = sk_c8),
% 0.99/0.89      inference(unit_resolution,[status(thm)],[147, 112])).
% 0.99/0.89  tff(149,plain,
% 0.99/0.89      (sk_c8 = inverse(sk_c2)),
% 0.99/0.89      inference(symmetry,[status(thm)],[148])).
% 0.99/0.89  tff(150,plain,
% 0.99/0.89      (multiply(sk_c8, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 0.99/0.89      inference(monotonicity,[status(thm)],[149])).
% 0.99/0.89  tff(151,plain,
% 0.99/0.89      (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c8, sk_c2)),
% 0.99/0.89      inference(symmetry,[status(thm)],[150])).
% 0.99/0.89  tff(152,plain,
% 0.99/0.89      (identity = multiply(sk_c8, sk_c2)),
% 0.99/0.89      inference(transitivity,[status(thm)],[36, 151])).
% 0.99/0.89  tff(153,plain,
% 0.99/0.89      (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 0.99/0.89      inference(monotonicity,[status(thm)],[152])).
% 0.99/0.89  tff(154,plain,
% 0.99/0.89      (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(identity, sk_c8)),
% 0.99/0.89      inference(symmetry,[status(thm)],[153])).
% 0.99/0.89  tff(155,plain,
% 0.99/0.89      (((inverse(sk_c8) = sk_c6) | (multiply(sk_c2, sk_c8) = sk_c3)) <=> ((inverse(sk_c8) = sk_c6) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 0.99/0.89      inference(rewrite,[status(thm)],[])).
% 0.99/0.89  tff(156,plain,
% 0.99/0.89      (((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c8) = sk_c6)) <=> ((inverse(sk_c8) = sk_c6) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 0.99/0.89      inference(rewrite,[status(thm)],[])).
% 0.99/0.89  tff(157,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_22')).
% 0.99/0.89  tff(158,plain,
% 0.99/0.89      ((inverse(sk_c8) = sk_c6) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[157, 156])).
% 0.99/0.89  tff(159,plain,
% 0.99/0.89      ((inverse(sk_c8) = sk_c6) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[158, 155])).
% 0.99/0.89  tff(160,plain,
% 0.99/0.89      (multiply(sk_c2, sk_c8) = sk_c3),
% 0.99/0.89      inference(unit_resolution,[status(thm)],[159, 112])).
% 0.99/0.89  tff(161,plain,
% 0.99/0.89      (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 0.99/0.89      inference(monotonicity,[status(thm)],[160])).
% 0.99/0.89  tff(162,plain,
% 0.99/0.89      (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 0.99/0.89      inference(symmetry,[status(thm)],[161])).
% 0.99/0.89  tff(163,plain,
% 0.99/0.89      (((inverse(sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((inverse(sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 0.99/0.89      inference(rewrite,[status(thm)],[])).
% 0.99/0.89  tff(164,plain,
% 0.99/0.89      (((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c8) = sk_c6)) <=> ((inverse(sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 0.99/0.89      inference(rewrite,[status(thm)],[])).
% 0.99/0.89  tff(165,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c8) = sk_c6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_17')).
% 0.99/0.89  tff(166,plain,
% 0.99/0.89      ((inverse(sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[165, 164])).
% 0.99/0.89  tff(167,plain,
% 0.99/0.89      ((inverse(sk_c8) = sk_c6) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 0.99/0.89      inference(modus_ponens,[status(thm)],[166, 163])).
% 0.99/0.89  tff(168,plain,
% 0.99/0.89      (multiply(sk_c8, sk_c3) = sk_c7),
% 0.99/0.89      inference(unit_resolution,[status(thm)],[167, 112])).
% 0.99/0.89  tff(169,plain,
% 0.99/0.89      (sk_c7 = multiply(sk_c8, sk_c3)),
% 0.99/0.89      inference(symmetry,[status(thm)],[168])).
% 0.99/0.89  tff(170,plain,
% 0.99/0.89      (sk_c7 = sk_c8),
% 0.99/0.89      inference(transitivity,[status(thm)],[169, 162, 42, 154, 18])).
% 0.99/0.89  tff(171,plain,
% 0.99/0.89      (multiply(inverse(sk_c8), sk_c7) = multiply(inverse(sk_c8), sk_c8)),
% 0.99/0.89      inference(monotonicity,[status(thm)],[170])).
% 0.99/0.89  tff(172,plain,
% 0.99/0.89      (multiply(inverse(sk_c8), sk_c8) = multiply(inverse(sk_c8), sk_c7)),
% 0.99/0.89      inference(symmetry,[status(thm)],[171])).
% 0.99/0.89  tff(173,plain,
% 0.99/0.89      (identity = multiply(inverse(sk_c8), sk_c8)),
% 0.99/0.89      inference(symmetry,[status(thm)],[100])).
% 0.99/0.89  tff(174,plain,
% 0.99/0.89      (identity = multiply(inverse(sk_c8), sk_c7)),
% 0.99/0.89      inference(transitivity,[status(thm)],[173, 172])).
% 0.99/0.89  tff(175,plain,
% 0.99/0.89      (multiply(identity, sk_c1) = multiply(multiply(inverse(sk_c8), sk_c7), sk_c1)),
% 0.99/0.89      inference(monotonicity,[status(thm)],[174])).
% 0.99/0.89  tff(176,plain,
% 0.99/0.89      (multiply(multiply(inverse(sk_c8), sk_c7), sk_c1) = multiply(identity, sk_c1)),
% 0.99/0.89      inference(symmetry,[status(thm)],[175])).
% 0.99/0.89  tff(177,plain,
% 0.99/0.89      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), sk_c7), sk_c1) = multiply(inverse(sk_c8), multiply(sk_c7, sk_c1)))),
% 0.99/0.89      inference(quant_inst,[status(thm)],[])).
% 0.99/0.89  tff(178,plain,
% 0.99/0.89      (multiply(multiply(inverse(sk_c8), sk_c7), sk_c1) = multiply(inverse(sk_c8), multiply(sk_c7, sk_c1))),
% 0.99/0.89      inference(unit_resolution,[status(thm)],[177, 7])).
% 0.99/0.89  tff(179,plain,
% 0.99/0.89      (multiply(inverse(sk_c8), multiply(sk_c7, sk_c1)) = multiply(multiply(inverse(sk_c8), sk_c7), sk_c1)),
% 0.99/0.89      inference(symmetry,[status(thm)],[178])).
% 0.99/0.89  tff(180,plain,
% 0.99/0.89      (multiply(sk_c7, sk_c2) = multiply(sk_c8, sk_c2)),
% 0.99/0.89      inference(monotonicity,[status(thm)],[170])).
% 0.99/0.89  tff(181,plain,
% 0.99/0.89      (multiply(sk_c8, sk_c2) = multiply(sk_c7, sk_c2)),
% 0.99/0.89      inference(symmetry,[status(thm)],[180])).
% 0.99/0.89  tff(182,plain,
% 0.99/0.89      (identity = multiply(sk_c7, sk_c2)),
% 0.99/0.89      inference(transitivity,[status(thm)],[36, 151, 181])).
% 0.99/0.89  tff(183,plain,
% 0.99/0.89      (multiply(sk_c1, identity) = multiply(sk_c1, multiply(sk_c7, sk_c2))),
% 0.99/0.89      inference(monotonicity,[status(thm)],[182])).
% 0.99/0.89  tff(184,plain,
% 0.99/0.89      (multiply(sk_c1, multiply(sk_c7, sk_c2)) = multiply(sk_c1, identity)),
% 0.99/0.89      inference(symmetry,[status(thm)],[183])).
% 0.99/0.89  tff(185,plain,
% 0.99/0.89      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), sk_c2) = multiply(sk_c1, multiply(sk_c7, sk_c2)))),
% 0.99/0.89      inference(quant_inst,[status(thm)],[])).
% 0.99/0.89  tff(186,plain,
% 0.99/0.89      (multiply(multiply(sk_c1, sk_c7), sk_c2) = multiply(sk_c1, multiply(sk_c7, sk_c2))),
% 0.99/0.89      inference(unit_resolution,[status(thm)],[185, 7])).
% 0.99/0.89  tff(187,plain,
% 0.99/0.89      (multiply(multiply(sk_c1, sk_c7), sk_c2) = multiply(sk_c8, sk_c2)),
% 0.99/0.89      inference(monotonicity,[status(thm)],[129])).
% 0.99/0.89  tff(188,plain,
% 0.99/0.89      (multiply(sk_c8, sk_c2) = multiply(multiply(sk_c1, sk_c7), sk_c2)),
% 0.99/0.89      inference(symmetry,[status(thm)],[187])).
% 0.99/0.89  tff(189,plain,
% 0.99/0.89      (identity = multiply(sk_c1, identity)),
% 0.99/0.89      inference(transitivity,[status(thm)],[36, 151, 188, 186, 184])).
% 0.99/0.89  tff(190,plain,
% 0.99/0.89      (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c1, identity))),
% 0.99/0.89      inference(monotonicity,[status(thm)],[189])).
% 0.99/0.89  tff(191,plain,
% 0.99/0.89      (multiply(sk_c7, multiply(sk_c1, identity)) = multiply(sk_c7, identity)),
% 0.99/0.89      inference(symmetry,[status(thm)],[190])).
% 0.99/0.89  tff(192,plain,
% 0.99/0.89      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c1), identity) = multiply(sk_c7, multiply(sk_c1, identity)))),
% 0.99/0.89      inference(quant_inst,[status(thm)],[])).
% 0.99/0.89  tff(193,plain,
% 0.99/0.89      (multiply(multiply(sk_c7, sk_c1), identity) = multiply(sk_c7, multiply(sk_c1, identity))),
% 0.99/0.89      inference(unit_resolution,[status(thm)],[192, 7])).
% 0.99/0.89  tff(194,plain,
% 0.99/0.89      (multiply(multiply(sk_c7, sk_c1), identity) = multiply(identity, identity)),
% 0.99/0.89      inference(monotonicity,[status(thm)],[139])).
% 0.99/0.89  tff(195,plain,
% 0.99/0.89      (multiply(identity, identity) = multiply(multiply(sk_c7, sk_c1), identity)),
% 0.99/0.89      inference(symmetry,[status(thm)],[194])).
% 0.99/0.89  tff(196,plain,
% 0.99/0.89      (sk_c8 = multiply(identity, sk_c8)),
% 0.99/0.89      inference(symmetry,[status(thm)],[18])).
% 0.99/0.89  tff(197,plain,
% 0.99/0.89      (sk_c8 = sk_c7),
% 0.99/0.89      inference(transitivity,[status(thm)],[196, 153, 41, 161, 168])).
% 0.99/0.89  tff(198,plain,
% 1.03/0.89      (multiply(sk_c8, sk_c1) = multiply(sk_c7, sk_c1)),
% 1.03/0.89      inference(monotonicity,[status(thm)],[197])).
% 1.03/0.89  tff(199,plain,
% 1.03/0.89      (multiply(sk_c7, sk_c1) = multiply(sk_c8, sk_c1)),
% 1.03/0.89      inference(symmetry,[status(thm)],[198])).
% 1.03/0.89  tff(200,plain,
% 1.03/0.89      (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 1.03/0.89      inference(symmetry,[status(thm)],[138])).
% 1.03/0.89  tff(201,plain,
% 1.03/0.89      (identity = multiply(inverse(sk_c1), sk_c1)),
% 1.03/0.89      inference(symmetry,[status(thm)],[59])).
% 1.03/0.89  tff(202,plain,
% 1.03/0.89      (identity = multiply(sk_c8, sk_c1)),
% 1.03/0.89      inference(transitivity,[status(thm)],[201, 200, 199])).
% 1.03/0.89  tff(203,plain,
% 1.03/0.89      (multiply(identity, identity) = multiply(identity, multiply(sk_c8, sk_c1))),
% 1.03/0.89      inference(monotonicity,[status(thm)],[202])).
% 1.03/0.89  tff(204,plain,
% 1.03/0.89      (multiply(identity, multiply(sk_c8, sk_c1)) = multiply(identity, identity)),
% 1.03/0.89      inference(symmetry,[status(thm)],[203])).
% 1.03/0.89  tff(205,plain,
% 1.03/0.89      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c8), sk_c1) = multiply(identity, multiply(sk_c8, sk_c1)))),
% 1.03/0.89      inference(quant_inst,[status(thm)],[])).
% 1.03/0.89  tff(206,plain,
% 1.03/0.89      (multiply(multiply(identity, sk_c8), sk_c1) = multiply(identity, multiply(sk_c8, sk_c1))),
% 1.03/0.89      inference(unit_resolution,[status(thm)],[205, 7])).
% 1.03/0.89  tff(207,plain,
% 1.03/0.89      (multiply(multiply(identity, sk_c8), sk_c1) = multiply(sk_c8, sk_c1)),
% 1.03/0.89      inference(monotonicity,[status(thm)],[18])).
% 1.03/0.89  tff(208,plain,
% 1.03/0.89      (multiply(sk_c8, sk_c1) = multiply(multiply(identity, sk_c8), sk_c1)),
% 1.03/0.89      inference(symmetry,[status(thm)],[207])).
% 1.03/0.89  tff(209,plain,
% 1.03/0.89      (multiply(sk_c7, sk_c1) = multiply(sk_c7, identity)),
% 1.03/0.89      inference(transitivity,[status(thm)],[199, 208, 206, 204, 195, 193, 191])).
% 1.03/0.89  tff(210,plain,
% 1.03/0.89      (multiply(inverse(sk_c8), multiply(sk_c7, sk_c1)) = multiply(inverse(sk_c8), multiply(sk_c7, identity))),
% 1.03/0.89      inference(monotonicity,[status(thm)],[209])).
% 1.03/0.89  tff(211,plain,
% 1.03/0.89      (multiply(inverse(sk_c8), multiply(sk_c7, identity)) = multiply(inverse(sk_c8), multiply(sk_c7, sk_c1))),
% 1.03/0.89      inference(symmetry,[status(thm)],[210])).
% 1.03/0.89  tff(212,plain,
% 1.03/0.89      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), sk_c7), identity) = multiply(inverse(sk_c8), multiply(sk_c7, identity)))),
% 1.03/0.89      inference(quant_inst,[status(thm)],[])).
% 1.03/0.89  tff(213,plain,
% 1.03/0.89      (multiply(multiply(inverse(sk_c8), sk_c7), identity) = multiply(inverse(sk_c8), multiply(sk_c7, identity))),
% 1.03/0.89      inference(unit_resolution,[status(thm)],[212, 7])).
% 1.03/0.89  tff(214,plain,
% 1.03/0.89      (multiply(inverse(sk_c8), sk_c7) = identity),
% 1.03/0.89      inference(transitivity,[status(thm)],[171, 100])).
% 1.03/0.89  tff(215,plain,
% 1.03/0.89      (multiply(multiply(inverse(sk_c8), sk_c7), identity) = multiply(identity, identity)),
% 1.03/0.89      inference(monotonicity,[status(thm)],[214])).
% 1.03/0.89  tff(216,plain,
% 1.03/0.89      (multiply(identity, identity) = multiply(multiply(inverse(sk_c8), sk_c7), identity)),
% 1.03/0.89      inference(symmetry,[status(thm)],[215])).
% 1.03/0.89  tff(217,plain,
% 1.03/0.89      (multiply(sk_c7, sk_c7) = multiply(sk_c7, sk_c8)),
% 1.03/0.89      inference(monotonicity,[status(thm)],[170])).
% 1.03/0.89  tff(218,plain,
% 1.03/0.89      (multiply(sk_c7, sk_c8) = multiply(sk_c7, sk_c7)),
% 1.03/0.89      inference(symmetry,[status(thm)],[217])).
% 1.03/0.89  tff(219,plain,
% 1.03/0.89      (sk_c8 = multiply(sk_c7, sk_c7)),
% 1.03/0.89      inference(transitivity,[status(thm)],[196, 153, 41, 161, 168, 142, 141, 69, 132, 218])).
% 1.03/0.89  tff(220,plain,
% 1.03/0.89      (multiply(inverse(sk_c8), sk_c8) = multiply(inverse(sk_c8), multiply(sk_c7, sk_c7))),
% 1.03/0.89      inference(monotonicity,[status(thm)],[219])).
% 1.03/0.89  tff(221,plain,
% 1.03/0.89      (multiply(inverse(sk_c8), multiply(sk_c7, sk_c7)) = multiply(inverse(sk_c8), sk_c8)),
% 1.03/0.89      inference(symmetry,[status(thm)],[220])).
% 1.03/0.89  tff(222,plain,
% 1.03/0.89      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(inverse(sk_c8), sk_c7), sk_c7) = multiply(inverse(sk_c8), multiply(sk_c7, sk_c7)))),
% 1.03/0.89      inference(quant_inst,[status(thm)],[])).
% 1.03/0.89  tff(223,plain,
% 1.03/0.89      (multiply(multiply(inverse(sk_c8), sk_c7), sk_c7) = multiply(inverse(sk_c8), multiply(sk_c7, sk_c7))),
% 1.03/0.89      inference(unit_resolution,[status(thm)],[222, 7])).
% 1.03/0.89  tff(224,plain,
% 1.03/0.89      (multiply(inverse(sk_c8), sk_c7) = multiply(sk_c7, sk_c1)),
% 1.03/0.89      inference(transitivity,[status(thm)],[171, 100, 201, 200])).
% 1.03/0.89  tff(225,plain,
% 1.03/0.89      (multiply(multiply(inverse(sk_c8), sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 1.03/0.89      inference(monotonicity,[status(thm)],[224])).
% 1.03/0.89  tff(226,plain,
% 1.03/0.89      (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(inverse(sk_c8), sk_c7), sk_c7)),
% 1.03/0.89      inference(symmetry,[status(thm)],[225])).
% 1.03/0.89  tff(227,plain,
% 1.03/0.89      (sk_c8 = sk_c1),
% 1.03/0.89      inference(transitivity,[status(thm)],[196, 153, 41, 161, 168, 142, 141, 226, 223, 221, 100, 201, 200, 199, 208, 206, 204, 216, 213, 211, 179, 176, 144])).
% 1.03/0.89  tff(228,plain,
% 1.03/0.89      (inverse(sk_c8) = inverse(sk_c1)),
% 1.03/0.89      inference(monotonicity,[status(thm)],[227])).
% 1.03/0.89  tff(229,plain,
% 1.03/0.89      (inverse(sk_c8) = sk_c6),
% 1.03/0.89      inference(transitivity,[status(thm)],[228, 136, 142, 141, 69, 132, 123])).
% 1.03/0.89  tff(230,plain,
% 1.03/0.89      ($false),
% 1.03/0.89      inference(unit_resolution,[status(thm)],[112, 229])).
% 1.03/0.89  tff(231,plain,(inverse(sk_c8) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 1.03/0.89  tff(232,plain,
% 1.03/0.89      (sk_c6 = inverse(sk_c8)),
% 1.03/0.89      inference(symmetry,[status(thm)],[231])).
% 1.03/0.89  tff(233,plain,
% 1.03/0.89      (multiply(sk_c6, multiply(sk_c7, sk_c6)) = multiply(inverse(sk_c8), sk_c8)),
% 1.03/0.89      inference(monotonicity,[status(thm)],[232, 111])).
% 1.03/0.89  tff(234,plain,
% 1.03/0.89      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c6)))),
% 1.03/0.89      inference(quant_inst,[status(thm)],[])).
% 1.03/0.89  tff(235,plain,
% 1.03/0.89      (multiply(multiply(sk_c6, sk_c7), sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c6))),
% 1.03/0.89      inference(unit_resolution,[status(thm)],[234, 7])).
% 1.03/0.89  tff(236,plain,
% 1.03/0.89      (multiply(multiply(sk_c6, sk_c7), sk_c6) = multiply(sk_c8, sk_c4)),
% 1.03/0.89      inference(transitivity,[status(thm)],[235, 233, 100, 98, 97])).
% 1.03/0.89  tff(237,plain,
% 1.03/0.89      (multiply(multiply(multiply(sk_c6, sk_c7), sk_c6), sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 1.03/0.89      inference(monotonicity,[status(thm)],[236])).
% 1.03/0.89  tff(238,plain,
% 1.03/0.89      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c6, sk_c7), sk_c6), sk_c8) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c6, sk_c8)))),
% 1.03/0.89      inference(quant_inst,[status(thm)],[])).
% 1.03/0.89  tff(239,plain,
% 1.03/0.89      (multiply(multiply(multiply(sk_c6, sk_c7), sk_c6), sk_c8) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c6, sk_c8))),
% 1.03/0.89      inference(unit_resolution,[status(thm)],[238, 7])).
% 1.03/0.89  tff(240,plain,
% 1.03/0.89      (multiply(multiply(sk_c6, sk_c7), multiply(sk_c6, sk_c8)) = multiply(multiply(multiply(sk_c6, sk_c7), sk_c6), sk_c8)),
% 1.03/0.89      inference(symmetry,[status(thm)],[239])).
% 1.03/0.89  tff(241,plain,
% 1.03/0.89      (multiply(sk_c6, sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 1.03/0.89      inference(monotonicity,[status(thm)],[232])).
% 1.03/0.89  tff(242,plain,
% 1.03/0.89      (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c6, sk_c8)),
% 1.03/0.89      inference(symmetry,[status(thm)],[241])).
% 1.03/0.89  tff(243,plain,
% 1.03/0.89      (identity = multiply(sk_c6, sk_c8)),
% 1.03/0.89      inference(transitivity,[status(thm)],[173, 242])).
% 1.03/0.89  tff(244,plain,
% 1.03/0.89      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8)))),
% 1.03/0.89      inference(quant_inst,[status(thm)],[])).
% 1.03/0.89  tff(245,plain,
% 1.03/0.89      (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 1.03/0.89      inference(unit_resolution,[status(thm)],[244, 7])).
% 1.03/0.89  tff(246,plain,
% 1.03/0.89      (multiply(sk_c8, multiply(sk_c4, sk_c8)) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 1.03/0.89      inference(symmetry,[status(thm)],[245])).
% 1.03/0.89  tff(247,plain,
% 1.03/0.89      (((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c5)) <=> ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c5))),
% 1.03/0.89      inference(rewrite,[status(thm)],[])).
% 1.03/0.89  tff(248,axiom,((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_4')).
% 1.03/0.89  tff(249,plain,
% 1.03/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c5)),
% 1.03/0.89      inference(modus_ponens,[status(thm)],[248, 247])).
% 1.03/0.89  tff(250,plain,
% 1.03/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c5)),
% 1.03/0.89      inference(modus_ponens,[status(thm)],[249, 247])).
% 1.03/0.89  tff(251,plain,
% 1.03/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c5)),
% 1.03/0.89      inference(modus_ponens,[status(thm)],[250, 247])).
% 1.03/0.89  tff(252,plain,
% 1.03/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c5)),
% 1.03/0.89      inference(modus_ponens,[status(thm)],[251, 247])).
% 1.03/0.89  tff(253,plain,
% 1.03/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c5)),
% 1.03/0.89      inference(modus_ponens,[status(thm)],[252, 247])).
% 1.03/0.89  tff(254,plain,
% 1.03/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c5)),
% 1.03/0.89      inference(modus_ponens,[status(thm)],[253, 247])).
% 1.03/0.89  tff(255,plain,
% 1.03/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c5)),
% 1.03/0.89      inference(modus_ponens,[status(thm)],[254, 247])).
% 1.03/0.89  tff(256,plain,
% 1.03/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c4, sk_c8) = sk_c5)),
% 1.03/0.89      inference(modus_ponens,[status(thm)],[255, 247])).
% 1.03/0.89  tff(257,plain,
% 1.03/0.89      (multiply(sk_c4, sk_c8) = sk_c5),
% 1.03/0.89      inference(unit_resolution,[status(thm)],[256, 81])).
% 1.03/0.89  tff(258,plain,
% 1.03/0.89      (sk_c5 = multiply(sk_c4, sk_c8)),
% 1.03/0.89      inference(symmetry,[status(thm)],[257])).
% 1.03/0.89  tff(259,plain,
% 1.03/0.89      (multiply(sk_c8, sk_c5) = multiply(sk_c8, multiply(sk_c4, sk_c8))),
% 1.03/0.89      inference(monotonicity,[status(thm)],[258])).
% 1.03/0.89  tff(260,assumption,(~(multiply(sk_c8, sk_c5) = sk_c7)), introduced(assumption)).
% 1.03/0.89  tff(261,plain,
% 1.03/0.89      (((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c5) = sk_c7)) <=> ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c5) = sk_c7))),
% 1.03/0.89      inference(rewrite,[status(thm)],[])).
% 1.03/0.89  tff(262,axiom,((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c5) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_3')).
% 1.03/0.89  tff(263,plain,
% 1.03/0.89      ((multiply(sk_c7, sk_c8) = sk_c6) | (multiply(sk_c8, sk_c5) = sk_c7)),
% 1.03/0.89      inference(modus_ponens,[status(thm)],[262, 261])).
% 1.03/0.89  tff(264,plain,
% 1.03/0.89      (multiply(sk_c7, sk_c8) = sk_c6),
% 1.03/0.89      inference(unit_resolution,[status(thm)],[263, 260])).
% 1.03/0.89  tff(265,plain,
% 1.03/0.89      (((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c5) = sk_c7)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c5) = sk_c7))),
% 1.03/0.89      inference(rewrite,[status(thm)],[])).
% 1.03/0.89  tff(266,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c5) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_8')).
% 1.03/0.89  tff(267,plain,
% 1.03/0.89      ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c8, sk_c5) = sk_c7)),
% 1.03/0.89      inference(modus_ponens,[status(thm)],[266, 265])).
% 1.03/0.89  tff(268,plain,
% 1.03/0.89      (multiply(sk_c1, sk_c7) = sk_c8),
% 1.03/0.89      inference(unit_resolution,[status(thm)],[267, 260])).
% 1.03/0.89  tff(269,plain,
% 1.03/0.89      (sk_c8 = multiply(sk_c1, sk_c7)),
% 1.03/0.89      inference(symmetry,[status(thm)],[268])).
% 1.03/0.89  tff(270,plain,
% 1.03/0.89      (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 1.03/0.89      inference(monotonicity,[status(thm)],[269])).
% 1.03/0.89  tff(271,plain,
% 1.03/0.89      (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c8)),
% 1.03/0.89      inference(symmetry,[status(thm)],[270])).
% 1.03/0.89  tff(272,plain,
% 1.03/0.89      (((inverse(sk_c1) = sk_c7) | (multiply(sk_c8, sk_c5) = sk_c7)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c8, sk_c5) = sk_c7))),
% 1.03/0.89      inference(rewrite,[status(thm)],[])).
% 1.03/0.89  tff(273,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c8, sk_c5) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_13')).
% 1.03/0.89  tff(274,plain,
% 1.03/0.89      ((inverse(sk_c1) = sk_c7) | (multiply(sk_c8, sk_c5) = sk_c7)),
% 1.03/0.89      inference(modus_ponens,[status(thm)],[273, 272])).
% 1.03/0.89  tff(275,plain,
% 1.03/0.89      (inverse(sk_c1) = sk_c7),
% 1.03/0.89      inference(unit_resolution,[status(thm)],[274, 260])).
% 1.03/0.89  tff(276,plain,
% 1.03/0.89      (sk_c7 = inverse(sk_c1)),
% 1.03/0.89      inference(symmetry,[status(thm)],[275])).
% 1.03/0.89  tff(277,plain,
% 1.03/0.89      (multiply(sk_c7, sk_c1) = multiply(inverse(sk_c1), sk_c1)),
% 1.03/0.89      inference(monotonicity,[status(thm)],[276])).
% 1.03/0.89  tff(278,plain,
% 1.03/0.89      (multiply(sk_c7, sk_c1) = identity),
% 1.03/0.89      inference(transitivity,[status(thm)],[277, 59])).
% 1.03/0.89  tff(279,plain,
% 1.03/0.89      (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(identity, sk_c7)),
% 1.03/0.89      inference(monotonicity,[status(thm)],[278])).
% 1.03/0.89  tff(280,plain,
% 1.03/0.89      (multiply(identity, sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 1.03/0.89      inference(symmetry,[status(thm)],[279])).
% 1.03/0.89  tff(281,plain,
% 1.03/0.89      (((inverse(sk_c2) = sk_c8) | (multiply(sk_c8, sk_c5) = sk_c7)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c8, sk_c5) = sk_c7))),
% 1.03/0.89      inference(rewrite,[status(thm)],[])).
% 1.03/0.89  tff(282,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c8, sk_c5) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_28')).
% 1.03/0.89  tff(283,plain,
% 1.03/0.89      ((inverse(sk_c2) = sk_c8) | (multiply(sk_c8, sk_c5) = sk_c7)),
% 1.03/0.89      inference(modus_ponens,[status(thm)],[282, 281])).
% 1.03/0.89  tff(284,plain,
% 1.03/0.89      (inverse(sk_c2) = sk_c8),
% 1.03/0.89      inference(unit_resolution,[status(thm)],[283, 260])).
% 1.03/0.89  tff(285,plain,
% 1.03/0.89      (sk_c8 = inverse(sk_c2)),
% 1.03/0.89      inference(symmetry,[status(thm)],[284])).
% 1.03/0.89  tff(286,plain,
% 1.03/0.89      (multiply(sk_c8, sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 1.03/0.89      inference(monotonicity,[status(thm)],[285])).
% 1.03/0.89  tff(287,plain,
% 1.03/0.89      (multiply(inverse(sk_c2), sk_c2) = multiply(sk_c8, sk_c2)),
% 1.03/0.89      inference(symmetry,[status(thm)],[286])).
% 1.03/0.90  tff(288,plain,
% 1.03/0.90      (identity = multiply(sk_c8, sk_c2)),
% 1.03/0.90      inference(transitivity,[status(thm)],[36, 287])).
% 1.03/0.90  tff(289,plain,
% 1.03/0.90      (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c2), sk_c8)),
% 1.03/0.90      inference(monotonicity,[status(thm)],[288])).
% 1.03/0.90  tff(290,plain,
% 1.03/0.90      (multiply(multiply(sk_c8, sk_c2), sk_c8) = multiply(identity, sk_c8)),
% 1.03/0.90      inference(symmetry,[status(thm)],[289])).
% 1.03/0.90  tff(291,plain,
% 1.03/0.90      (((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c8, sk_c5) = sk_c7)) <=> ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c8, sk_c5) = sk_c7))),
% 1.03/0.90      inference(rewrite,[status(thm)],[])).
% 1.03/0.90  tff(292,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c8, sk_c5) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_23')).
% 1.03/0.90  tff(293,plain,
% 1.03/0.90      ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c8, sk_c5) = sk_c7)),
% 1.03/0.90      inference(modus_ponens,[status(thm)],[292, 291])).
% 1.03/0.90  tff(294,plain,
% 1.03/0.90      (multiply(sk_c2, sk_c8) = sk_c3),
% 1.03/0.90      inference(unit_resolution,[status(thm)],[293, 260])).
% 1.03/0.90  tff(295,plain,
% 1.03/0.90      (multiply(sk_c8, multiply(sk_c2, sk_c8)) = multiply(sk_c8, sk_c3)),
% 1.03/0.90      inference(monotonicity,[status(thm)],[294])).
% 1.03/0.90  tff(296,plain,
% 1.03/0.90      (multiply(sk_c8, sk_c3) = multiply(sk_c8, multiply(sk_c2, sk_c8))),
% 1.03/0.90      inference(symmetry,[status(thm)],[295])).
% 1.03/0.90  tff(297,plain,
% 1.03/0.90      (((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c5) = sk_c7)) <=> ((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c5) = sk_c7))),
% 1.03/0.90      inference(rewrite,[status(thm)],[])).
% 1.03/0.90  tff(298,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c5) = sk_c7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_18')).
% 1.03/0.90  tff(299,plain,
% 1.03/0.90      ((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c8, sk_c5) = sk_c7)),
% 1.03/0.90      inference(modus_ponens,[status(thm)],[298, 297])).
% 1.03/0.90  tff(300,plain,
% 1.03/0.90      (multiply(sk_c8, sk_c3) = sk_c7),
% 1.03/0.90      inference(unit_resolution,[status(thm)],[299, 260])).
% 1.03/0.90  tff(301,plain,
% 1.03/0.90      (sk_c7 = multiply(sk_c8, sk_c3)),
% 1.03/0.90      inference(symmetry,[status(thm)],[300])).
% 1.03/0.90  tff(302,plain,
% 1.03/0.90      (sk_c7 = sk_c8),
% 1.03/0.90      inference(transitivity,[status(thm)],[301, 296, 42, 290, 18])).
% 1.03/0.90  tff(303,plain,
% 1.03/0.90      (multiply(sk_c7, sk_c2) = multiply(sk_c8, sk_c2)),
% 1.03/0.90      inference(monotonicity,[status(thm)],[302])).
% 1.03/0.90  tff(304,plain,
% 1.03/0.90      (multiply(sk_c8, sk_c2) = multiply(sk_c7, sk_c2)),
% 1.03/0.90      inference(symmetry,[status(thm)],[303])).
% 1.03/0.90  tff(305,plain,
% 1.03/0.90      (identity = multiply(sk_c7, sk_c2)),
% 1.03/0.90      inference(transitivity,[status(thm)],[36, 287, 304])).
% 1.03/0.90  tff(306,plain,
% 1.03/0.90      (multiply(identity, sk_c1) = multiply(multiply(sk_c7, sk_c2), sk_c1)),
% 1.03/0.90      inference(monotonicity,[status(thm)],[305])).
% 1.03/0.90  tff(307,plain,
% 1.03/0.90      (multiply(multiply(sk_c7, sk_c2), sk_c1) = multiply(identity, sk_c1)),
% 1.03/0.90      inference(symmetry,[status(thm)],[306])).
% 1.03/0.90  tff(308,plain,
% 1.03/0.90      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c2), sk_c1) = multiply(sk_c7, multiply(sk_c2, sk_c1)))),
% 1.03/0.90      inference(quant_inst,[status(thm)],[])).
% 1.03/0.90  tff(309,plain,
% 1.03/0.90      (multiply(multiply(sk_c7, sk_c2), sk_c1) = multiply(sk_c7, multiply(sk_c2, sk_c1))),
% 1.03/0.90      inference(unit_resolution,[status(thm)],[308, 7])).
% 1.03/0.90  tff(310,plain,
% 1.03/0.90      (multiply(sk_c7, multiply(sk_c2, sk_c1)) = multiply(multiply(sk_c7, sk_c2), sk_c1)),
% 1.03/0.90      inference(symmetry,[status(thm)],[309])).
% 1.03/0.90  tff(311,plain,
% 1.03/0.90      (multiply(sk_c7, sk_c7) = multiply(sk_c7, sk_c8)),
% 1.03/0.90      inference(monotonicity,[status(thm)],[302])).
% 1.03/0.90  tff(312,plain,
% 1.03/0.90      (multiply(sk_c7, sk_c8) = multiply(sk_c7, sk_c7)),
% 1.03/0.90      inference(symmetry,[status(thm)],[311])).
% 1.03/0.90  tff(313,plain,
% 1.03/0.90      (sk_c7 = multiply(sk_c7, sk_c7)),
% 1.03/0.90      inference(transitivity,[status(thm)],[142, 280, 69, 271, 312])).
% 1.03/0.90  tff(314,plain,
% 1.03/0.90      (multiply(sk_c7, multiply(sk_c2, sk_c1)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, sk_c1))),
% 1.03/0.90      inference(monotonicity,[status(thm)],[313])).
% 1.03/0.90  tff(315,plain,
% 1.03/0.90      (multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, sk_c1)) = multiply(sk_c7, multiply(sk_c2, sk_c1))),
% 1.03/0.90      inference(symmetry,[status(thm)],[314])).
% 1.03/0.90  tff(316,plain,
% 1.03/0.90      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, sk_c1)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, sk_c1))))),
% 1.03/0.90      inference(quant_inst,[status(thm)],[])).
% 1.03/0.90  tff(317,plain,
% 1.03/0.90      (multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, sk_c1)) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, sk_c1)))),
% 1.03/0.90      inference(unit_resolution,[status(thm)],[316, 7])).
% 1.03/0.90  tff(318,plain,
% 1.03/0.90      (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, sk_c1))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c2, sk_c1))),
% 1.03/0.90      inference(symmetry,[status(thm)],[317])).
% 1.03/0.90  tff(319,plain,
% 1.03/0.90      (multiply(sk_c7, multiply(sk_c2, sk_c1)) = sk_c1),
% 1.03/0.90      inference(transitivity,[status(thm)],[310, 307, 144])).
% 1.03/0.90  tff(320,plain,
% 1.03/0.90      (multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, sk_c1))) = multiply(sk_c7, sk_c1)),
% 1.03/0.90      inference(monotonicity,[status(thm)],[319])).
% 1.03/0.90  tff(321,plain,
% 1.03/0.90      (multiply(sk_c7, sk_c1) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c2, sk_c1)))),
% 1.03/0.90      inference(symmetry,[status(thm)],[320])).
% 1.03/0.90  tff(322,plain,
% 1.03/0.90      (multiply(inverse(sk_c1), sk_c1) = multiply(sk_c7, sk_c1)),
% 1.03/0.90      inference(symmetry,[status(thm)],[277])).
% 1.03/0.90  tff(323,plain,
% 1.03/0.90      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(sk_c7), sk_c7) = identity)),
% 1.03/0.90      inference(quant_inst,[status(thm)],[])).
% 1.03/0.90  tff(324,plain,
% 1.03/0.90      (multiply(inverse(sk_c7), sk_c7) = identity),
% 1.03/0.90      inference(unit_resolution,[status(thm)],[323, 33])).
% 1.03/0.90  tff(325,plain,
% 1.03/0.90      (inverse(sk_c7) = inverse(sk_c8)),
% 1.03/0.90      inference(monotonicity,[status(thm)],[302])).
% 1.03/0.90  tff(326,plain,
% 1.03/0.90      (multiply(inverse(sk_c7), sk_c7) = multiply(inverse(sk_c8), multiply(sk_c7, sk_c7))),
% 1.03/0.90      inference(monotonicity,[status(thm)],[325, 313])).
% 1.03/0.90  tff(327,plain,
% 1.03/0.90      (multiply(inverse(sk_c8), multiply(sk_c7, sk_c7)) = multiply(inverse(sk_c7), sk_c7)),
% 1.03/0.90      inference(symmetry,[status(thm)],[326])).
% 1.03/0.90  tff(328,plain,
% 1.03/0.90      (inverse(sk_c8) = inverse(sk_c7)),
% 1.03/0.90      inference(symmetry,[status(thm)],[325])).
% 1.03/0.90  tff(329,plain,
% 1.03/0.90      (multiply(inverse(sk_c8), sk_c7) = multiply(inverse(sk_c7), sk_c7)),
% 1.03/0.90      inference(monotonicity,[status(thm)],[328])).
% 1.03/0.90  tff(330,plain,
% 1.03/0.90      (multiply(inverse(sk_c8), sk_c7) = multiply(sk_c7, sk_c1)),
% 1.03/0.90      inference(transitivity,[status(thm)],[329, 324, 201, 322])).
% 1.03/0.90  tff(331,plain,
% 1.03/0.90      (multiply(multiply(inverse(sk_c8), sk_c7), sk_c7) = multiply(multiply(sk_c7, sk_c1), sk_c7)),
% 1.03/0.90      inference(monotonicity,[status(thm)],[330])).
% 1.03/0.90  tff(332,plain,
% 1.03/0.90      (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(inverse(sk_c8), sk_c7), sk_c7)),
% 1.03/0.90      inference(symmetry,[status(thm)],[331])).
% 1.03/0.90  tff(333,plain,
% 1.03/0.90      (sk_c8 = sk_c1),
% 1.03/0.90      inference(transitivity,[status(thm)],[196, 289, 41, 295, 300, 142, 280, 332, 223, 327, 324, 201, 322, 321, 318, 315, 310, 307, 144])).
% 1.03/0.90  tff(334,plain,
% 1.03/0.90      (inverse(sk_c8) = inverse(sk_c1)),
% 1.03/0.90      inference(monotonicity,[status(thm)],[333])).
% 1.03/0.90  tff(335,plain,
% 1.03/0.90      (inverse(sk_c8) = sk_c6),
% 1.03/0.90      inference(transitivity,[status(thm)],[334, 275, 142, 280, 69, 271, 264])).
% 1.03/0.90  tff(336,plain,
% 1.03/0.90      (sk_c6 = multiply(sk_c7, sk_c8)),
% 1.03/0.90      inference(symmetry,[status(thm)],[264])).
% 1.03/0.90  tff(337,plain,
% 1.03/0.90      (sk_c6 = sk_c8),
% 1.03/0.90      inference(transitivity,[status(thm)],[336, 270, 70, 279, 57, 301, 296, 42, 290, 18])).
% 1.03/0.90  tff(338,plain,
% 1.03/0.90      (multiply(sk_c7, sk_c6) = multiply(sk_c7, sk_c8)),
% 1.03/0.90      inference(monotonicity,[status(thm)],[337])).
% 1.03/0.90  tff(339,plain,
% 1.03/0.90      (multiply(sk_c7, sk_c6) = sk_c8),
% 1.03/0.90      inference(transitivity,[status(thm)],[338, 270, 70, 279, 57, 301, 296, 42, 290, 18])).
% 1.03/0.90  tff(340,plain,
% 1.03/0.90      (^[X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : refl(((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))),
% 1.03/0.90      inference(bind,[status(th)],[])).
% 1.03/0.90  tff(341,plain,
% 1.03/0.90      (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))),
% 1.03/0.90      inference(quant_intro,[status(thm)],[340])).
% 1.03/0.90  tff(342,plain,
% 1.03/0.90      (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))),
% 1.03/0.90      inference(rewrite,[status(thm)],[])).
% 1.03/0.90  tff(343,plain,
% 1.03/0.90      (^[X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), (((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X4) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X4) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), (((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), ((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X5, sk_c8) = X4))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X5, sk_c8) = X4))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), ((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), (((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X5) = sk_c8))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X5) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), (((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), ((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), ((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), (((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c8) = sk_c6))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(sk_c8) = sk_c6))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(sk_c8) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), (((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c8) = sk_c6))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), ((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c8) = sk_c6))) | (~(multiply(sk_c8, X1) = sk_c7))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X1) = sk_c7))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(sk_c8, X1) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), ((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c8) = sk_c6))) | (~(multiply(sk_c8, X1) = sk_c7))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), (((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c8) = sk_c6))) | (~(multiply(sk_c8, X1) = sk_c7))) | (~(multiply(X2, sk_c8) = X1))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X2, sk_c8) = X1))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(multiply(X2, sk_c8) = X1))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), (((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c8) = sk_c6))) | (~(multiply(sk_c8, X1) = sk_c7))) | (~(multiply(X2, sk_c8) = X1))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))))), ((((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c8) = sk_c6))) | (~(multiply(sk_c8, X1) = sk_c7))) | (~(multiply(X2, sk_c8) = X1))) | (~(inverse(X2) = sk_c8))) <=> (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c8))))), rewrite((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X2) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))), ((((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c8) = sk_c6))) | (~(multiply(sk_c8, X1) = sk_c7))) | (~(multiply(X2, sk_c8) = X1))) | (~(inverse(X2) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))))),
% 1.03/0.90      inference(bind,[status(th)],[])).
% 1.03/0.90  tff(344,plain,
% 1.03/0.90      (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c8) = sk_c6))) | (~(multiply(sk_c8, X1) = sk_c7))) | (~(multiply(X2, sk_c8) = X1))) | (~(inverse(X2) = sk_c8))) <=> ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))),
% 1.03/0.91      inference(quant_intro,[status(thm)],[343])).
% 1.03/0.91  tff(345,axiom,(![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : (((((((((((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(X3, sk_c7) = sk_c8))) | (~(inverse(X3) = sk_c7))) | (~(multiply(sk_c8, X4) = sk_c7))) | (~(multiply(X5, sk_c8) = X4))) | (~(inverse(X5) = sk_c8))) | (~(multiply(sk_c7, sk_c6) = sk_c8))) | (~(inverse(sk_c8) = sk_c6))) | (~(multiply(sk_c8, X1) = sk_c7))) | (~(multiply(X2, sk_c8) = X1))) | (~(inverse(X2) = sk_c8)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_31')).
% 1.03/0.91  tff(346,plain,
% 1.03/0.91      (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))),
% 1.03/0.91      inference(modus_ponens,[status(thm)],[345, 344])).
% 1.03/0.91  tff(347,plain,
% 1.03/0.91      (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))),
% 1.03/0.91      inference(modus_ponens,[status(thm)],[346, 342])).
% 1.03/0.91  tff(348,plain,(
% 1.03/0.91      ![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))),
% 1.03/0.91      inference(skolemize,[status(sab)],[347])).
% 1.03/0.91  tff(349,plain,
% 1.03/0.91      (![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))),
% 1.03/0.91      inference(modus_ponens,[status(thm)],[348, 341])).
% 1.03/0.91  tff(350,plain,
% 1.03/0.91      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)))),
% 1.03/0.91      inference(rewrite,[status(thm)],[])).
% 1.03/0.91  tff(351,plain,
% 1.03/0.91      (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)))),
% 1.03/0.91      inference(rewrite,[status(thm)],[])).
% 1.03/0.91  tff(352,plain,
% 1.03/0.91      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3))))),
% 1.03/0.91      inference(monotonicity,[status(thm)],[351])).
% 1.03/0.91  tff(353,plain,
% 1.03/0.91      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)))),
% 1.03/0.91      inference(transitivity,[status(thm)],[352, 350])).
% 1.03/0.91  tff(354,plain,
% 1.03/0.91      ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)))),
% 1.03/0.91      inference(quant_inst,[status(thm)],[])).
% 1.03/0.91  tff(355,plain,
% 1.03/0.91      ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, sk_c3) = sk_c7)) | (~(inverse(sk_c1) = sk_c7)) | (~(multiply(sk_c1, sk_c7) = sk_c8)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = sk_c3))),
% 1.03/0.91      inference(modus_ponens,[status(thm)],[354, 353])).
% 1.03/0.91  tff(356,plain,
% 1.03/0.91      ((~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6))),
% 1.03/0.91      inference(unit_resolution,[status(thm)],[355, 264, 268, 275, 300, 294, 284, 349])).
% 1.03/0.91  tff(357,plain,
% 1.03/0.91      (~(inverse(sk_c8) = sk_c6)),
% 1.03/0.91      inference(unit_resolution,[status(thm)],[356, 339])).
% 1.03/0.91  tff(358,plain,
% 1.03/0.91      ($false),
% 1.03/0.91      inference(unit_resolution,[status(thm)],[357, 335])).
% 1.03/0.91  tff(359,plain,(multiply(sk_c8, sk_c5) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 1.03/0.91  tff(360,plain,
% 1.03/0.91      (sk_c7 = multiply(sk_c8, sk_c5)),
% 1.03/0.91      inference(symmetry,[status(thm)],[359])).
% 1.03/0.91  tff(361,plain,
% 1.03/0.91      (sk_c7 = sk_c8),
% 1.03/0.91      inference(transitivity,[status(thm)],[360, 259, 246, 96, 18])).
% 1.03/0.91  tff(362,plain,
% 1.03/0.91      (multiply(sk_c6, sk_c7) = multiply(inverse(sk_c8), sk_c8)),
% 1.03/0.91      inference(monotonicity,[status(thm)],[232, 361])).
% 1.03/0.91  tff(363,plain,
% 1.03/0.91      (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c6, sk_c7)),
% 1.03/0.91      inference(symmetry,[status(thm)],[362])).
% 1.03/0.91  tff(364,plain,
% 1.03/0.91      (identity = multiply(sk_c6, sk_c7)),
% 1.03/0.91      inference(transitivity,[status(thm)],[173, 363])).
% 1.03/0.91  tff(365,plain,
% 1.03/0.91      (multiply(identity, identity) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c6, sk_c8))),
% 1.03/0.91      inference(monotonicity,[status(thm)],[364, 243])).
% 1.03/0.91  tff(366,plain,
% 1.03/0.91      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, identity) = identity)),
% 1.03/0.91      inference(quant_inst,[status(thm)],[])).
% 1.03/0.91  tff(367,plain,
% 1.03/0.91      (multiply(identity, identity) = identity),
% 1.03/0.91      inference(unit_resolution,[status(thm)],[366, 16])).
% 1.03/0.91  tff(368,plain,
% 1.03/0.91      (identity = multiply(identity, identity)),
% 1.03/0.91      inference(symmetry,[status(thm)],[367])).
% 1.03/0.91  tff(369,plain,
% 1.03/0.91      (multiply(identity, sk_c6) = multiply(multiply(sk_c6, sk_c7), sk_c6)),
% 1.03/0.91      inference(monotonicity,[status(thm)],[364])).
% 1.03/0.91  tff(370,plain,
% 1.03/0.91      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c6) = sk_c6)),
% 1.03/0.91      inference(quant_inst,[status(thm)],[])).
% 1.03/0.91  tff(371,plain,
% 1.03/0.91      (multiply(identity, sk_c6) = sk_c6),
% 1.03/0.91      inference(unit_resolution,[status(thm)],[370, 16])).
% 1.03/0.91  tff(372,plain,
% 1.03/0.91      (sk_c6 = multiply(identity, sk_c6)),
% 1.03/0.91      inference(symmetry,[status(thm)],[371])).
% 1.03/0.91  tff(373,plain,
% 1.03/0.91      (sk_c6 = sk_c8),
% 1.03/0.91      inference(transitivity,[status(thm)],[372, 369, 235, 233, 100, 368, 365, 240, 237, 96, 18])).
% 1.03/0.91  tff(374,plain,
% 1.03/0.91      (multiply(sk_c8, sk_c7) = multiply(sk_c8, sk_c8)),
% 1.03/0.91      inference(monotonicity,[status(thm)],[361])).
% 1.03/0.91  tff(375,plain,
% 1.03/0.91      (multiply(sk_c8, sk_c8) = multiply(sk_c8, sk_c7)),
% 1.03/0.91      inference(symmetry,[status(thm)],[374])).
% 1.03/0.91  tff(376,plain,
% 1.03/0.91      (multiply(sk_c7, sk_c8) = multiply(sk_c8, sk_c8)),
% 1.03/0.91      inference(monotonicity,[status(thm)],[361])).
% 1.03/0.91  tff(377,plain,
% 1.03/0.91      (multiply(sk_c7, sk_c8) = multiply(sk_c8, sk_c7)),
% 1.03/0.91      inference(transitivity,[status(thm)],[376, 375])).
% 1.03/0.91  tff(378,plain,
% 1.03/0.91      ((multiply(sk_c7, sk_c8) = sk_c6) <=> (multiply(sk_c8, sk_c7) = sk_c8)),
% 1.03/0.91      inference(monotonicity,[status(thm)],[377, 373])).
% 1.03/0.91  tff(379,plain,
% 1.03/0.91      ((multiply(sk_c8, sk_c7) = sk_c8) <=> (multiply(sk_c7, sk_c8) = sk_c6)),
% 1.03/0.91      inference(symmetry,[status(thm)],[378])).
% 1.03/0.91  tff(380,plain,
% 1.03/0.91      (multiply(multiply(sk_c6, sk_c7), multiply(sk_c6, sk_c8)) = multiply(identity, identity)),
% 1.03/0.91      inference(symmetry,[status(thm)],[365])).
% 1.03/0.91  tff(381,plain,
% 1.03/0.91      (multiply(multiply(sk_c8, sk_c4), sk_c8) = multiply(multiply(multiply(sk_c6, sk_c7), sk_c6), sk_c8)),
% 1.03/0.91      inference(symmetry,[status(thm)],[237])).
% 1.03/0.91  tff(382,plain,
% 1.03/0.91      (multiply(identity, sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 1.03/0.91      inference(symmetry,[status(thm)],[96])).
% 1.03/0.91  tff(383,plain,
% 1.03/0.91      (sk_c8 = multiply(sk_c8, sk_c4)),
% 1.03/0.91      inference(transitivity,[status(thm)],[196, 382, 381, 239, 380, 367, 98, 97])).
% 1.03/0.91  tff(384,plain,
% 1.03/0.91      (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c8, sk_c4), sk_c8)),
% 1.03/0.91      inference(monotonicity,[status(thm)],[383])).
% 1.03/0.91  tff(385,plain,
% 1.03/0.91      (multiply(sk_c8, sk_c7) = sk_c8),
% 1.03/0.91      inference(transitivity,[status(thm)],[374, 384, 96, 18])).
% 1.03/0.91  tff(386,plain,
% 1.03/0.91      (multiply(sk_c7, sk_c8) = sk_c6),
% 1.03/0.91      inference(modus_ponens,[status(thm)],[385, 379])).
% 1.03/0.91  tff(387,plain,
% 1.03/0.91      ($false),
% 1.03/0.91      inference(unit_resolution,[status(thm)],[81, 386])).
% 1.03/0.91  tff(388,plain,(multiply(sk_c7, sk_c8) = sk_c6), inference(lemma,lemma(discharge,[]))).
% 1.03/0.91  tff(389,plain,
% 1.03/0.91      (sk_c6 = multiply(sk_c7, sk_c8)),
% 1.03/0.91      inference(symmetry,[status(thm)],[388])).
% 1.03/0.91  tff(390,plain,
% 1.03/0.91      (sk_c6 = sk_c7),
% 1.03/0.91      inference(transitivity,[status(thm)],[389, 76, 70, 67, 57])).
% 1.03/0.91  tff(391,plain,
% 1.03/0.91      (multiply(sk_c7, sk_c6) = multiply(sk_c7, sk_c7)),
% 1.03/0.91      inference(monotonicity,[status(thm)],[390])).
% 1.03/0.91  tff(392,plain,
% 1.03/0.91      (multiply(sk_c7, sk_c6) = sk_c8),
% 1.03/0.91      inference(transitivity,[status(thm)],[391, 78, 76, 70, 67, 57, 55, 48, 42, 39, 18])).
% 1.03/0.91  tff(393,plain,
% 1.03/0.91      ($false),
% 1.03/0.91      inference(unit_resolution,[status(thm)],[19, 392])).
% 1.03/0.91  tff(394,plain,(multiply(sk_c7, sk_c6) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 1.03/0.91  tff(395,plain,
% 1.03/0.91      (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(sk_c7, sk_c8)),
% 1.03/0.91      inference(monotonicity,[status(thm)],[359])).
% 1.03/0.91  tff(396,plain,
% 1.03/0.91      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(sk_c8, multiply(sk_c5, sk_c8)))),
% 1.03/0.91      inference(quant_inst,[status(thm)],[])).
% 1.03/0.91  tff(397,plain,
% 1.03/0.91      (multiply(multiply(sk_c8, sk_c5), sk_c8) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 1.03/0.91      inference(unit_resolution,[status(thm)],[396, 7])).
% 1.03/0.91  tff(398,plain,
% 1.03/0.91      (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 1.03/0.91      inference(symmetry,[status(thm)],[397])).
% 1.03/0.91  tff(399,plain,
% 1.03/0.91      (multiply(sk_c8, multiply(sk_c5, sk_c8)) = sk_c6),
% 1.03/0.91      inference(transitivity,[status(thm)],[398, 395, 388])).
% 1.03/0.91  tff(400,plain,
% 1.03/0.91      (multiply(sk_c7, multiply(sk_c8, multiply(sk_c5, sk_c8))) = multiply(sk_c7, sk_c6)),
% 1.03/0.91      inference(monotonicity,[status(thm)],[399])).
% 1.03/0.91  tff(401,plain,
% 1.03/0.91      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), multiply(sk_c5, sk_c8)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c5, sk_c8))))),
% 1.03/0.91      inference(quant_inst,[status(thm)],[])).
% 1.03/0.91  tff(402,plain,
% 1.03/0.91      (multiply(multiply(sk_c7, sk_c8), multiply(sk_c5, sk_c8)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c5, sk_c8)))),
% 1.03/0.91      inference(unit_resolution,[status(thm)],[401, 7])).
% 1.03/0.91  tff(403,plain,
% 1.03/0.91      (multiply(sk_c5, multiply(sk_c7, sk_c6)) = multiply(sk_c5, sk_c8)),
% 1.03/0.91      inference(monotonicity,[status(thm)],[394])).
% 1.03/0.91  tff(404,plain,
% 1.03/0.91      (multiply(sk_c6, multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c5, sk_c8))),
% 1.03/0.91      inference(monotonicity,[status(thm)],[389, 403])).
% 1.03/0.91  tff(405,plain,
% 1.03/0.91      (multiply(sk_c6, multiply(sk_c5, multiply(sk_c7, sk_c6))) = sk_c8),
% 1.03/0.91      inference(transitivity,[status(thm)],[404, 402, 400, 394])).
% 1.03/0.91  tff(406,plain,
% 1.03/0.91      (multiply(multiply(sk_c6, multiply(sk_c5, multiply(sk_c7, sk_c6))), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.03/0.91      inference(monotonicity,[status(thm)],[405])).
% 1.03/0.91  tff(407,plain,
% 1.03/0.91      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c6, multiply(sk_c5, multiply(sk_c7, sk_c6))), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.03/0.91      inference(symmetry,[status(thm)],[406])).
% 1.03/0.91  tff(408,plain,
% 1.03/0.91      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 1.03/0.91      inference(quant_inst,[status(thm)],[])).
% 1.03/0.91  tff(409,plain,
% 1.03/0.91      (multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.03/0.91      inference(unit_resolution,[status(thm)],[408, 7])).
% 1.03/0.91  tff(410,plain,
% 1.03/0.91      (multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 1.03/0.91      inference(monotonicity,[status(thm)],[359])).
% 1.03/0.91  tff(411,plain,
% 1.03/0.91      (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8))),
% 1.03/0.91      inference(symmetry,[status(thm)],[410])).
% 1.03/0.91  tff(412,plain,
% 1.03/0.91      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c8, sk_c8)))),
% 1.03/0.91      inference(quant_inst,[status(thm)],[])).
% 1.03/0.91  tff(413,plain,
% 1.03/0.91      (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 1.03/0.91      inference(unit_resolution,[status(thm)],[412, 7])).
% 1.03/0.91  tff(414,plain,
% 1.03/0.91      (multiply(sk_c7, sk_c8) = inverse(sk_c8)),
% 1.03/0.91      inference(transitivity,[status(thm)],[388, 232])).
% 1.03/0.91  tff(415,plain,
% 1.03/0.91      (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 1.03/0.91      inference(monotonicity,[status(thm)],[414])).
% 1.03/0.91  tff(416,plain,
% 1.03/0.91      (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c7, sk_c8), sk_c8)),
% 1.03/0.91      inference(symmetry,[status(thm)],[415])).
% 1.03/0.91  tff(417,plain,
% 1.03/0.91      (identity = multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 1.03/0.91      inference(transitivity,[status(thm)],[173, 416, 413, 411, 409, 407, 9])).
% 1.03/0.91  tff(418,plain,
% 1.03/0.91      (multiply(sk_c5, identity) = multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.03/0.91      inference(monotonicity,[status(thm)],[417])).
% 1.03/0.91  tff(419,plain,
% 1.03/0.91      (multiply(sk_c6, sk_c8) = identity),
% 1.03/0.91      inference(transitivity,[status(thm)],[241, 100])).
% 1.03/0.91  tff(420,plain,
% 1.03/0.91      (multiply(sk_c5, multiply(sk_c6, sk_c8)) = multiply(sk_c5, identity)),
% 1.03/0.91      inference(monotonicity,[status(thm)],[419])).
% 1.03/0.91  tff(421,plain,
% 1.03/0.91      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), sk_c8) = multiply(sk_c5, multiply(sk_c6, sk_c8)))),
% 1.03/0.91      inference(quant_inst,[status(thm)],[])).
% 1.03/0.91  tff(422,plain,
% 1.03/0.91      (multiply(multiply(sk_c5, sk_c6), sk_c8) = multiply(sk_c5, multiply(sk_c6, sk_c8))),
% 1.03/0.91      inference(unit_resolution,[status(thm)],[421, 7])).
% 1.03/0.91  tff(423,plain,
% 1.03/0.91      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), sk_c6) = multiply(sk_c7, multiply(sk_c7, sk_c6)))),
% 1.03/0.91      inference(quant_inst,[status(thm)],[])).
% 1.03/0.91  tff(424,plain,
% 1.03/0.91      (multiply(multiply(sk_c7, sk_c7), sk_c6) = multiply(sk_c7, multiply(sk_c7, sk_c6))),
% 1.03/0.91      inference(unit_resolution,[status(thm)],[423, 7])).
% 1.03/0.91  tff(425,plain,
% 1.03/0.91      (multiply(sk_c7, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c7, sk_c7), sk_c6)),
% 1.03/0.91      inference(symmetry,[status(thm)],[424])).
% 1.03/0.91  tff(426,plain,
% 1.03/0.91      (multiply(sk_c7, multiply(sk_c7, sk_c6)) = multiply(sk_c7, sk_c8)),
% 1.03/0.91      inference(monotonicity,[status(thm)],[394])).
% 1.03/0.91  tff(427,plain,
% 1.03/0.91      (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c7, sk_c6))),
% 1.03/0.91      inference(symmetry,[status(thm)],[426])).
% 1.03/0.91  tff(428,plain,
% 1.03/0.91      (sk_c6 = multiply(multiply(sk_c7, sk_c7), sk_c6)),
% 1.03/0.91      inference(transitivity,[status(thm)],[389, 427, 425])).
% 1.03/0.91  tff(429,plain,
% 1.03/0.91      (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))),
% 1.03/0.91      inference(monotonicity,[status(thm)],[428])).
% 1.03/0.91  tff(430,plain,
% 1.03/0.91      (multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)) = multiply(sk_c5, sk_c6)),
% 1.03/0.91      inference(symmetry,[status(thm)],[429])).
% 1.03/0.91  tff(431,plain,
% 1.03/0.91      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))),
% 1.03/0.91      inference(quant_inst,[status(thm)],[])).
% 1.03/0.91  tff(432,plain,
% 1.03/0.91      (multiply(identity, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))),
% 1.03/0.91      inference(unit_resolution,[status(thm)],[431, 16])).
% 1.03/0.91  tff(433,plain,
% 1.03/0.91      (multiply(identity, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, sk_c6))),
% 1.03/0.91      inference(monotonicity,[status(thm)],[243, 430])).
% 1.03/0.91  tff(434,plain,
% 1.03/0.91      (multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, sk_c6)) = multiply(identity, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))),
% 1.03/0.91      inference(symmetry,[status(thm)],[433])).
% 1.03/0.91  tff(435,plain,
% 1.03/0.91      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, sk_c6)) = multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, sk_c6))))),
% 1.03/0.91      inference(quant_inst,[status(thm)],[])).
% 1.03/0.91  tff(436,plain,
% 1.03/0.91      (multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, sk_c6)) = multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, sk_c6)))),
% 1.03/0.91      inference(unit_resolution,[status(thm)],[435, 7])).
% 1.03/0.91  tff(437,plain,
% 1.03/0.91      (multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, sk_c6))) = multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, sk_c6))),
% 1.03/0.91      inference(symmetry,[status(thm)],[436])).
% 1.03/0.91  tff(438,plain,
% 1.03/0.91      (multiply(multiply(sk_c8, sk_c5), sk_c6) = multiply(sk_c7, sk_c6)),
% 1.03/0.91      inference(monotonicity,[status(thm)],[359])).
% 1.03/0.91  tff(439,plain,
% 1.03/0.91      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c5), sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c6)))),
% 1.03/0.91      inference(quant_inst,[status(thm)],[])).
% 1.03/0.91  tff(440,plain,
% 1.03/0.91      (multiply(multiply(sk_c8, sk_c5), sk_c6) = multiply(sk_c8, multiply(sk_c5, sk_c6))),
% 1.03/0.91      inference(unit_resolution,[status(thm)],[439, 7])).
% 1.03/0.91  tff(441,plain,
% 1.03/0.91      (multiply(sk_c8, multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c8, sk_c5), sk_c6)),
% 1.03/0.91      inference(symmetry,[status(thm)],[440])).
% 1.03/0.91  tff(442,plain,
% 1.03/0.91      (multiply(sk_c8, multiply(sk_c5, sk_c6)) = sk_c8),
% 1.03/0.91      inference(transitivity,[status(thm)],[441, 438, 394])).
% 1.03/0.91  tff(443,plain,
% 1.03/0.91      (multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, sk_c6))) = multiply(inverse(sk_c8), sk_c8)),
% 1.03/0.91      inference(monotonicity,[status(thm)],[232, 442])).
% 1.03/0.91  tff(444,plain,
% 1.03/0.91      (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, sk_c6)))),
% 1.03/0.91      inference(symmetry,[status(thm)],[443])).
% 1.03/0.91  tff(445,plain,
% 1.03/0.91      (identity = multiply(sk_c5, sk_c6)),
% 1.03/0.91      inference(transitivity,[status(thm)],[173, 444, 437, 434, 432, 430])).
% 1.03/0.91  tff(446,plain,
% 1.03/0.91      (multiply(identity, sk_c8) = multiply(multiply(sk_c5, sk_c6), sk_c8)),
% 1.03/0.91      inference(monotonicity,[status(thm)],[445])).
% 1.03/0.91  tff(447,plain,
% 1.03/0.91      (sk_c8 = multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.03/0.91      inference(transitivity,[status(thm)],[196, 446, 422, 420, 418])).
% 1.03/0.91  tff(448,plain,
% 1.03/0.91      (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.03/0.91      inference(monotonicity,[status(thm)],[447, 447])).
% 1.03/0.91  tff(449,plain,
% 1.03/0.91      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(sk_c8, sk_c8)),
% 1.03/0.91      inference(symmetry,[status(thm)],[448])).
% 1.03/0.91  tff(450,plain,
% 1.03/0.91      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.03/0.91      inference(monotonicity,[status(thm)],[447])).
% 1.03/0.91  tff(451,plain,
% 1.03/0.91      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c8, sk_c8)),
% 1.03/0.91      inference(transitivity,[status(thm)],[450, 449])).
% 1.03/0.91  tff(452,plain,
% 1.03/0.91      ((multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))) <=> (multiply(sk_c8, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.03/0.91      inference(monotonicity,[status(thm)],[451])).
% 1.03/0.91  tff(453,plain,
% 1.03/0.91      ((multiply(sk_c8, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))) <=> (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.03/0.91      inference(symmetry,[status(thm)],[452])).
% 1.03/0.91  tff(454,plain,
% 1.03/0.91      ((sk_c7 = inverse(sk_c8)) <=> (inverse(sk_c8) = sk_c7)),
% 1.03/0.91      inference(commutativity,[status(thm)],[])).
% 1.03/0.91  tff(455,plain,
% 1.03/0.91      (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c8, sk_c5), sk_c6)),
% 1.03/0.91      inference(symmetry,[status(thm)],[438])).
% 1.03/0.91  tff(456,plain,
% 1.03/0.91      (sk_c8 = multiply(sk_c7, sk_c6)),
% 1.03/0.91      inference(symmetry,[status(thm)],[394])).
% 1.03/0.91  tff(457,plain,
% 1.03/0.91      (sk_c8 = multiply(sk_c8, multiply(sk_c5, sk_c6))),
% 1.03/0.91      inference(transitivity,[status(thm)],[456, 455, 440])).
% 1.03/0.91  tff(458,plain,
% 1.03/0.91      (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c5, sk_c6)))),
% 1.03/0.91      inference(monotonicity,[status(thm)],[457])).
% 1.03/0.91  tff(459,plain,
% 1.03/0.91      (multiply(sk_c7, multiply(sk_c8, multiply(sk_c5, sk_c6))) = multiply(sk_c7, sk_c8)),
% 1.03/0.91      inference(symmetry,[status(thm)],[458])).
% 1.03/0.91  tff(460,plain,
% 1.03/0.91      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), multiply(sk_c5, sk_c6)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c5, sk_c6))))),
% 1.03/0.91      inference(quant_inst,[status(thm)],[])).
% 1.03/0.91  tff(461,plain,
% 1.03/0.91      (multiply(multiply(sk_c7, sk_c8), multiply(sk_c5, sk_c6)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c5, sk_c6)))),
% 1.03/0.91      inference(unit_resolution,[status(thm)],[460, 7])).
% 1.03/0.91  tff(462,plain,
% 1.03/0.91      (multiply(multiply(sk_c7, sk_c8), multiply(sk_c5, sk_c6)) = multiply(sk_c6, multiply(sk_c5, sk_c6))),
% 1.03/0.91      inference(monotonicity,[status(thm)],[388])).
% 1.03/0.91  tff(463,plain,
% 1.03/0.91      (multiply(sk_c6, multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c5, sk_c6))),
% 1.03/0.91      inference(symmetry,[status(thm)],[462])).
% 1.03/0.91  tff(464,plain,
% 1.03/0.91      (multiply(sk_c8, multiply(sk_c7, sk_c6)) = multiply(sk_c8, sk_c8)),
% 1.03/0.91      inference(monotonicity,[status(thm)],[394])).
% 1.03/0.91  tff(465,plain,
% 1.03/0.91      (multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c6))) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 1.03/0.91      inference(monotonicity,[status(thm)],[464])).
% 1.03/0.91  tff(466,plain,
% 1.03/0.91      (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c6)))),
% 1.03/0.91      inference(symmetry,[status(thm)],[465])).
% 1.03/0.91  tff(467,plain,
% 1.03/0.91      (multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)) = multiply(identity, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))),
% 1.03/0.91      inference(symmetry,[status(thm)],[432])).
% 1.03/0.91  tff(468,plain,
% 1.03/0.91      (multiply(sk_c5, sk_c6) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c6)))),
% 1.03/0.91      inference(transitivity,[status(thm)],[429, 467, 433, 436, 443, 416, 413, 466])).
% 1.03/0.91  tff(469,plain,
% 1.03/0.91      (multiply(sk_c6, multiply(sk_c5, sk_c6)) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c6))))),
% 1.03/0.91      inference(monotonicity,[status(thm)],[468])).
% 1.03/0.91  tff(470,plain,
% 1.03/0.91      (multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c6)))) = multiply(sk_c6, multiply(sk_c5, sk_c6))),
% 1.03/0.91      inference(symmetry,[status(thm)],[469])).
% 1.03/0.92  tff(471,plain,
% 1.03/0.92      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c6))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c6)))))),
% 1.03/0.92      inference(quant_inst,[status(thm)],[])).
% 1.03/0.92  tff(472,plain,
% 1.03/0.92      (multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c6))) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c6))))),
% 1.03/0.92      inference(unit_resolution,[status(thm)],[471, 7])).
% 1.03/0.92  tff(473,plain,
% 1.03/0.92      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c5) = sk_c5)),
% 1.03/0.92      inference(quant_inst,[status(thm)],[])).
% 1.03/0.92  tff(474,plain,
% 1.03/0.92      (multiply(identity, sk_c5) = sk_c5),
% 1.03/0.92      inference(unit_resolution,[status(thm)],[473, 16])).
% 1.03/0.92  tff(475,plain,
% 1.03/0.92      (multiply(identity, sk_c5) = multiply(multiply(sk_c6, sk_c8), sk_c5)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[243])).
% 1.03/0.92  tff(476,plain,
% 1.03/0.92      (multiply(multiply(sk_c6, sk_c8), sk_c5) = multiply(identity, sk_c5)),
% 1.03/0.92      inference(symmetry,[status(thm)],[475])).
% 1.03/0.92  tff(477,plain,
% 1.03/0.92      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c8), sk_c5) = multiply(sk_c6, multiply(sk_c8, sk_c5)))),
% 1.03/0.92      inference(quant_inst,[status(thm)],[])).
% 1.03/0.92  tff(478,plain,
% 1.03/0.92      (multiply(multiply(sk_c6, sk_c8), sk_c5) = multiply(sk_c6, multiply(sk_c8, sk_c5))),
% 1.03/0.92      inference(unit_resolution,[status(thm)],[477, 7])).
% 1.03/0.92  tff(479,plain,
% 1.03/0.92      (multiply(sk_c6, multiply(sk_c8, sk_c5)) = multiply(multiply(sk_c6, sk_c8), sk_c5)),
% 1.03/0.92      inference(symmetry,[status(thm)],[478])).
% 1.03/0.92  tff(480,plain,
% 1.03/0.92      (multiply(sk_c6, multiply(sk_c8, sk_c5)) = multiply(sk_c6, sk_c7)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[359])).
% 1.03/0.92  tff(481,plain,
% 1.03/0.92      (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c8, sk_c5))),
% 1.03/0.92      inference(symmetry,[status(thm)],[480])).
% 1.03/0.92  tff(482,plain,
% 1.03/0.92      (multiply(sk_c6, sk_c7) = sk_c5),
% 1.03/0.92      inference(transitivity,[status(thm)],[481, 479, 476, 474])).
% 1.03/0.92  tff(483,plain,
% 1.03/0.92      (multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c6))) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 1.03/0.92      inference(monotonicity,[status(thm)],[482, 464])).
% 1.03/0.92  tff(484,plain,
% 1.03/0.92      (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c6)))),
% 1.03/0.92      inference(symmetry,[status(thm)],[483])).
% 1.03/0.92  tff(485,plain,
% 1.03/0.92      (multiply(sk_c5, multiply(sk_c8, sk_c8)) = inverse(sk_c8)),
% 1.03/0.92      inference(transitivity,[status(thm)],[484, 472, 470, 463, 461, 459, 388, 232])).
% 1.03/0.92  tff(486,plain,
% 1.03/0.92      (multiply(identity, sk_c7) = multiply(multiply(sk_c5, sk_c6), sk_c7)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[445])).
% 1.03/0.92  tff(487,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, sk_c6), sk_c7) = multiply(identity, sk_c7)),
% 1.03/0.92      inference(symmetry,[status(thm)],[486])).
% 1.03/0.92  tff(488,plain,
% 1.03/0.92      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), sk_c7) = multiply(sk_c5, multiply(sk_c6, sk_c7)))),
% 1.03/0.92      inference(quant_inst,[status(thm)],[])).
% 1.03/0.92  tff(489,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, sk_c6), sk_c7) = multiply(sk_c5, multiply(sk_c6, sk_c7))),
% 1.03/0.92      inference(unit_resolution,[status(thm)],[488, 7])).
% 1.03/0.92  tff(490,plain,
% 1.03/0.92      (multiply(sk_c5, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c5, sk_c6), sk_c7)),
% 1.03/0.92      inference(symmetry,[status(thm)],[489])).
% 1.03/0.92  tff(491,plain,
% 1.03/0.92      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(sk_c8, multiply(sk_c5, sk_c8))),
% 1.03/0.92      inference(monotonicity,[status(thm)],[403])).
% 1.03/0.92  tff(492,plain,
% 1.03/0.92      (multiply(sk_c8, multiply(sk_c5, sk_c8)) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6)))),
% 1.03/0.92      inference(symmetry,[status(thm)],[491])).
% 1.03/0.92  tff(493,plain,
% 1.03/0.92      (multiply(sk_c7, sk_c8) = multiply(multiply(sk_c8, sk_c5), sk_c8)),
% 1.03/0.92      inference(symmetry,[status(thm)],[395])).
% 1.03/0.92  tff(494,plain,
% 1.03/0.92      (sk_c6 = multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6)))),
% 1.03/0.92      inference(transitivity,[status(thm)],[389, 493, 397, 492])).
% 1.03/0.92  tff(495,plain,
% 1.03/0.92      (multiply(sk_c6, sk_c7) = multiply(multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c7)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[494])).
% 1.03/0.92  tff(496,plain,
% 1.03/0.92      (multiply(multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c7) = multiply(sk_c6, sk_c7)),
% 1.03/0.92      inference(symmetry,[status(thm)],[495])).
% 1.03/0.92  tff(497,plain,
% 1.03/0.92      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c7) = multiply(sk_c8, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7)))),
% 1.03/0.92      inference(quant_inst,[status(thm)],[])).
% 1.03/0.92  tff(498,plain,
% 1.03/0.92      (multiply(multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c7) = multiply(sk_c8, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7))),
% 1.03/0.92      inference(unit_resolution,[status(thm)],[497, 7])).
% 1.03/0.92  tff(499,plain,
% 1.03/0.92      (multiply(sk_c8, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7)) = multiply(multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c7)),
% 1.03/0.92      inference(symmetry,[status(thm)],[498])).
% 1.03/0.92  tff(500,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7) = multiply(multiply(sk_c5, sk_c8), sk_c7)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[403])).
% 1.03/0.92  tff(501,plain,
% 1.03/0.92      (multiply(sk_c8, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7)) = multiply(sk_c8, multiply(multiply(sk_c5, sk_c8), sk_c7))),
% 1.03/0.92      inference(monotonicity,[status(thm)],[500])).
% 1.03/0.92  tff(502,plain,
% 1.03/0.92      (multiply(sk_c8, multiply(multiply(sk_c5, sk_c8), sk_c7)) = multiply(sk_c8, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7))),
% 1.03/0.92      inference(symmetry,[status(thm)],[501])).
% 1.03/0.92  tff(503,plain,
% 1.03/0.92      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), sk_c7) = multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.03/0.92      inference(quant_inst,[status(thm)],[])).
% 1.03/0.92  tff(504,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, sk_c8), sk_c7) = multiply(sk_c5, multiply(sk_c8, sk_c7))),
% 1.03/0.92      inference(unit_resolution,[status(thm)],[503, 7])).
% 1.03/0.92  tff(505,plain,
% 1.03/0.92      (multiply(sk_c8, multiply(multiply(sk_c5, sk_c8), sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.03/0.92      inference(monotonicity,[status(thm)],[447, 504])).
% 1.03/0.92  tff(506,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(sk_c8, multiply(multiply(sk_c5, sk_c8), sk_c7))),
% 1.03/0.92      inference(symmetry,[status(thm)],[505])).
% 1.03/0.92  tff(507,plain,
% 1.03/0.92      (multiply(sk_c5, multiply(sk_c7, sk_c8)) = multiply(sk_c5, sk_c6)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[388])).
% 1.03/0.92  tff(508,plain,
% 1.03/0.92      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c8) = multiply(sk_c5, multiply(sk_c7, sk_c8)))),
% 1.03/0.92      inference(quant_inst,[status(thm)],[])).
% 1.03/0.92  tff(509,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, sk_c7), sk_c8) = multiply(sk_c5, multiply(sk_c7, sk_c8))),
% 1.03/0.92      inference(unit_resolution,[status(thm)],[508, 7])).
% 1.03/0.92  tff(510,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, sk_c6), sk_c8) = multiply(identity, sk_c8)),
% 1.03/0.92      inference(symmetry,[status(thm)],[446])).
% 1.03/0.92  tff(511,plain,
% 1.03/0.92      (multiply(sk_c5, multiply(sk_c6, sk_c8)) = multiply(multiply(sk_c5, sk_c6), sk_c8)),
% 1.03/0.92      inference(symmetry,[status(thm)],[422])).
% 1.03/0.92  tff(512,plain,
% 1.03/0.92      (multiply(sk_c5, identity) = multiply(sk_c5, multiply(sk_c6, sk_c8))),
% 1.03/0.92      inference(symmetry,[status(thm)],[420])).
% 1.03/0.92  tff(513,assumption,(~(multiply(sk_c1, sk_c7) = sk_c8)), introduced(assumption)).
% 1.03/0.92  tff(514,plain,
% 1.03/0.92      (((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c5)) <=> ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c5))),
% 1.03/0.92      inference(rewrite,[status(thm)],[])).
% 1.03/0.92  tff(515,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_9')).
% 1.03/0.92  tff(516,plain,
% 1.03/0.92      ((multiply(sk_c1, sk_c7) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c5)),
% 1.03/0.92      inference(modus_ponens,[status(thm)],[515, 514])).
% 1.03/0.92  tff(517,plain,
% 1.03/0.92      (multiply(sk_c4, sk_c8) = sk_c5),
% 1.03/0.92      inference(unit_resolution,[status(thm)],[516, 513])).
% 1.03/0.92  tff(518,plain,
% 1.03/0.92      (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8))),
% 1.03/0.92      inference(monotonicity,[status(thm)],[360])).
% 1.03/0.92  tff(519,plain,
% 1.03/0.92      (inverse(sk_c8) = multiply(sk_c7, sk_c8)),
% 1.03/0.92      inference(transitivity,[status(thm)],[231, 389])).
% 1.03/0.92  tff(520,plain,
% 1.03/0.92      (multiply(inverse(sk_c8), sk_c8) = multiply(multiply(sk_c7, sk_c8), sk_c8)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[519])).
% 1.03/0.92  tff(521,plain,
% 1.03/0.92      (identity = multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 1.03/0.92      inference(transitivity,[status(thm)],[173, 520, 413, 518, 409, 407, 9])).
% 1.03/0.92  tff(522,plain,
% 1.03/0.92      (multiply(sk_c5, identity) = multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.03/0.92      inference(monotonicity,[status(thm)],[521])).
% 1.03/0.92  tff(523,plain,
% 1.03/0.92      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = multiply(sk_c5, identity)),
% 1.03/0.92      inference(symmetry,[status(thm)],[522])).
% 1.03/0.92  tff(524,plain,
% 1.03/0.92      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = sk_c8),
% 1.03/0.92      inference(transitivity,[status(thm)],[523, 512, 511, 510, 18])).
% 1.03/0.92  tff(525,plain,
% 1.03/0.92      (multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(sk_c4, sk_c8)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[524])).
% 1.03/0.92  tff(526,plain,
% 1.03/0.92      (multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c5),
% 1.03/0.92      inference(transitivity,[status(thm)],[525, 517])).
% 1.03/0.92  tff(527,plain,
% 1.03/0.92      (multiply(multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), identity) = multiply(sk_c5, identity)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[526])).
% 1.03/0.92  tff(528,plain,
% 1.03/0.92      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), identity) = multiply(sk_c4, multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), identity)))),
% 1.03/0.92      inference(quant_inst,[status(thm)],[])).
% 1.03/0.92  tff(529,plain,
% 1.03/0.92      (multiply(multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), identity) = multiply(sk_c4, multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), identity))),
% 1.03/0.92      inference(unit_resolution,[status(thm)],[528, 7])).
% 1.03/0.92  tff(530,plain,
% 1.03/0.92      (multiply(sk_c4, multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), identity)) = multiply(multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), identity)),
% 1.03/0.92      inference(symmetry,[status(thm)],[529])).
% 1.03/0.92  tff(531,plain,
% 1.03/0.92      (identity = multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))),
% 1.03/0.92      inference(transitivity,[status(thm)],[173, 444, 437, 434, 432])).
% 1.03/0.92  tff(532,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), identity) = multiply(multiply(sk_c5, identity), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))),
% 1.03/0.92      inference(monotonicity,[status(thm)],[523, 531])).
% 1.03/0.92  tff(533,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, identity), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), identity)),
% 1.03/0.92      inference(symmetry,[status(thm)],[532])).
% 1.03/0.92  tff(534,plain,
% 1.03/0.92      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, identity), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = multiply(sk_c5, multiply(identity, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))))),
% 1.03/0.92      inference(quant_inst,[status(thm)],[])).
% 1.03/0.92  tff(535,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, identity), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = multiply(sk_c5, multiply(identity, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))))),
% 1.03/0.92      inference(unit_resolution,[status(thm)],[534, 7])).
% 1.03/0.92  tff(536,plain,
% 1.03/0.92      (multiply(sk_c5, multiply(identity, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))) = multiply(multiply(sk_c5, identity), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))),
% 1.03/0.92      inference(symmetry,[status(thm)],[535])).
% 1.03/0.92  tff(537,plain,
% 1.03/0.92      (multiply(identity, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = identity),
% 1.03/0.92      inference(transitivity,[status(thm)],[433, 436, 443, 100])).
% 1.03/0.92  tff(538,plain,
% 1.03/0.92      (multiply(sk_c5, multiply(identity, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))) = multiply(sk_c5, identity)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[537])).
% 1.03/0.92  tff(539,plain,
% 1.03/0.92      (multiply(sk_c5, identity) = multiply(sk_c5, multiply(identity, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))))),
% 1.03/0.92      inference(symmetry,[status(thm)],[538])).
% 1.03/0.92  tff(540,plain,
% 1.03/0.92      (sk_c8 = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), identity)),
% 1.03/0.92      inference(transitivity,[status(thm)],[196, 446, 422, 420, 539, 536, 533])).
% 1.03/0.92  tff(541,plain,
% 1.03/0.92      (multiply(sk_c4, sk_c8) = multiply(sk_c4, multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), identity))),
% 1.03/0.92      inference(monotonicity,[status(thm)],[540])).
% 1.03/0.92  tff(542,plain,
% 1.03/0.92      (sk_c5 = multiply(sk_c4, sk_c8)),
% 1.03/0.92      inference(symmetry,[status(thm)],[517])).
% 1.03/0.92  tff(543,plain,
% 1.03/0.92      (multiply(multiply(sk_c6, sk_c8), sk_c5) = multiply(identity, sk_c5)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[419])).
% 1.03/0.92  tff(544,plain,
% 1.03/0.92      (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c8, sk_c5))),
% 1.03/0.92      inference(monotonicity,[status(thm)],[360])).
% 1.03/0.92  tff(545,plain,
% 1.03/0.92      (multiply(sk_c6, sk_c7) = sk_c8),
% 1.03/0.92      inference(transitivity,[status(thm)],[544, 479, 543, 474, 542, 541, 530, 527, 512, 511, 510, 18])).
% 1.03/0.92  tff(546,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c5, sk_c7), sk_c8)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[545])).
% 1.03/0.92  tff(547,plain,
% 1.03/0.92      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, sk_c7), sk_c6), sk_c7) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c7)))),
% 1.03/0.92      inference(quant_inst,[status(thm)],[])).
% 1.03/0.92  tff(548,plain,
% 1.03/0.92      (multiply(multiply(multiply(sk_c5, sk_c7), sk_c6), sk_c7) = multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c7))),
% 1.03/0.92      inference(unit_resolution,[status(thm)],[547, 7])).
% 1.03/0.92  tff(549,plain,
% 1.03/0.92      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(sk_c5, multiply(sk_c7, sk_c6)))),
% 1.03/0.92      inference(quant_inst,[status(thm)],[])).
% 1.03/0.92  tff(550,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, sk_c7), sk_c6) = multiply(sk_c5, multiply(sk_c7, sk_c6))),
% 1.03/0.92      inference(unit_resolution,[status(thm)],[549, 7])).
% 1.03/0.92  tff(551,plain,
% 1.03/0.92      (multiply(sk_c5, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c5, sk_c7), sk_c6)),
% 1.03/0.92      inference(symmetry,[status(thm)],[550])).
% 1.03/0.92  tff(552,plain,
% 1.03/0.92      (multiply(sk_c5, sk_c8) = multiply(sk_c5, multiply(sk_c7, sk_c6))),
% 1.03/0.92      inference(symmetry,[status(thm)],[403])).
% 1.03/0.92  tff(553,plain,
% 1.03/0.92      (multiply(sk_c5, sk_c8) = multiply(multiply(sk_c5, sk_c7), sk_c6)),
% 1.03/0.92      inference(transitivity,[status(thm)],[552, 551])).
% 1.03/0.92  tff(554,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, sk_c8), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c7), sk_c6), sk_c7)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[553])).
% 1.03/0.92  tff(555,plain,
% 1.03/0.92      (multiply(sk_c5, multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c5, sk_c8), sk_c7)),
% 1.03/0.92      inference(symmetry,[status(thm)],[504])).
% 1.03/0.92  tff(556,plain,
% 1.03/0.92      (multiply(sk_c5, multiply(sk_c8, sk_c7)) = identity),
% 1.03/0.92      inference(transitivity,[status(thm)],[555, 554, 548, 546, 509, 507, 429, 467, 433, 436, 443, 100])).
% 1.03/0.92  tff(557,plain,
% 1.03/0.92      ((multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7))) <=> (multiply(sk_c4, sk_c8) = identity)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[556])).
% 1.03/0.92  tff(558,plain,
% 1.03/0.92      ((multiply(sk_c4, sk_c8) = identity) <=> (multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.03/0.92      inference(symmetry,[status(thm)],[557])).
% 1.03/0.92  tff(559,plain,
% 1.03/0.92      (multiply(multiply(sk_c7, sk_c8), sk_c8) = multiply(inverse(sk_c8), sk_c8)),
% 1.03/0.92      inference(symmetry,[status(thm)],[520])).
% 1.03/0.92  tff(560,plain,
% 1.03/0.92      (multiply(sk_c7, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c7, sk_c8), sk_c8)),
% 1.03/0.92      inference(symmetry,[status(thm)],[413])).
% 1.03/0.92  tff(561,plain,
% 1.03/0.92      (multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8)) = multiply(sk_c7, multiply(sk_c8, sk_c8))),
% 1.03/0.92      inference(symmetry,[status(thm)],[518])).
% 1.03/0.92  tff(562,plain,
% 1.03/0.92      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c8, sk_c5), multiply(sk_c8, sk_c8))),
% 1.03/0.92      inference(symmetry,[status(thm)],[409])).
% 1.03/0.92  tff(563,plain,
% 1.03/0.92      (sk_c8 = multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.03/0.92      inference(transitivity,[status(thm)],[196, 446, 422, 420, 522])).
% 1.03/0.92  tff(564,plain,
% 1.03/0.92      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.03/0.92      inference(monotonicity,[status(thm)],[563])).
% 1.03/0.92  tff(565,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.03/0.92      inference(symmetry,[status(thm)],[564])).
% 1.03/0.92  tff(566,plain,
% 1.03/0.92      (multiply(sk_c7, multiply(sk_c8, multiply(sk_c5, sk_c6))) = multiply(sk_c7, sk_c8)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[442])).
% 1.03/0.92  tff(567,plain,
% 1.03/0.92      (multiply(sk_c6, multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c5, sk_c6))),
% 1.03/0.92      inference(monotonicity,[status(thm)],[389])).
% 1.03/0.92  tff(568,plain,
% 1.03/0.92      (multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c6))) = multiply(sk_c5, sk_c6)),
% 1.03/0.92      inference(transitivity,[status(thm)],[465, 560, 559, 444, 437, 434, 432, 430])).
% 1.03/0.92  tff(569,plain,
% 1.03/0.92      (multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c6)))) = multiply(sk_c6, multiply(sk_c5, sk_c6))),
% 1.03/0.92      inference(monotonicity,[status(thm)],[568])).
% 1.03/0.92  tff(570,plain,
% 1.03/0.92      (multiply(sk_c8, sk_c8) = multiply(sk_c8, multiply(sk_c7, sk_c6))),
% 1.03/0.92      inference(symmetry,[status(thm)],[464])).
% 1.03/0.92  tff(571,plain,
% 1.03/0.92      (multiply(sk_c6, multiply(sk_c8, sk_c5)) = multiply(sk_c6, sk_c7)),
% 1.03/0.92      inference(symmetry,[status(thm)],[544])).
% 1.03/0.92  tff(572,plain,
% 1.03/0.92      (multiply(identity, sk_c5) = multiply(multiply(sk_c6, sk_c8), sk_c5)),
% 1.03/0.92      inference(symmetry,[status(thm)],[543])).
% 1.03/0.92  tff(573,plain,
% 1.03/0.92      (sk_c5 = multiply(identity, sk_c5)),
% 1.03/0.92      inference(symmetry,[status(thm)],[474])).
% 1.03/0.92  tff(574,plain,
% 1.03/0.92      (sk_c5 = multiply(sk_c6, sk_c7)),
% 1.03/0.92      inference(transitivity,[status(thm)],[573, 572, 478, 571])).
% 1.03/0.92  tff(575,plain,
% 1.03/0.92      (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c6)))),
% 1.03/0.92      inference(monotonicity,[status(thm)],[574, 570])).
% 1.03/0.92  tff(576,plain,
% 1.03/0.92      (multiply(sk_c5, multiply(sk_c8, sk_c8)) = sk_c6),
% 1.03/0.92      inference(transitivity,[status(thm)],[575, 472, 569, 567, 461, 566, 388])).
% 1.03/0.92  tff(577,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, sk_c6), sk_c7) = multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c8, sk_c5))),
% 1.03/0.92      inference(monotonicity,[status(thm)],[429, 360])).
% 1.03/0.92  tff(578,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c8, sk_c5)) = multiply(multiply(sk_c5, sk_c6), sk_c7)),
% 1.03/0.92      inference(symmetry,[status(thm)],[577])).
% 1.03/0.92  tff(579,plain,
% 1.03/0.92      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c8), sk_c5) = multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c8, sk_c5)))),
% 1.03/0.92      inference(quant_inst,[status(thm)],[])).
% 1.03/0.92  tff(580,plain,
% 1.03/0.92      (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c8), sk_c5) = multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c8, sk_c5))),
% 1.03/0.92      inference(unit_resolution,[status(thm)],[579, 7])).
% 1.03/0.92  tff(581,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c8) = multiply(multiply(sk_c5, sk_c6), sk_c8)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[430])).
% 1.03/0.92  tff(582,plain,
% 1.03/0.92      (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c8), sk_c5) = multiply(multiply(multiply(sk_c5, sk_c6), sk_c8), sk_c5)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[581])).
% 1.03/0.92  tff(583,plain,
% 1.03/0.92      (multiply(multiply(multiply(sk_c5, sk_c6), sk_c8), sk_c5) = multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c8), sk_c5)),
% 1.03/0.92      inference(symmetry,[status(thm)],[582])).
% 1.03/0.92  tff(584,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, sk_c6), sk_c8) = multiply(sk_c5, identity)),
% 1.03/0.92      inference(transitivity,[status(thm)],[422, 420])).
% 1.03/0.92  tff(585,plain,
% 1.03/0.92      (multiply(multiply(multiply(sk_c5, sk_c6), sk_c8), sk_c5) = multiply(multiply(sk_c5, identity), sk_c5)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[584])).
% 1.03/0.92  tff(586,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, identity), sk_c5) = multiply(multiply(multiply(sk_c5, sk_c6), sk_c8), sk_c5)),
% 1.03/0.92      inference(symmetry,[status(thm)],[585])).
% 1.03/0.92  tff(587,plain,
% 1.03/0.92      (multiply(sk_c4, sk_c8) = multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.03/0.92      inference(symmetry,[status(thm)],[525])).
% 1.03/0.92  tff(588,plain,
% 1.03/0.92      (sk_c5 = multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.03/0.92      inference(transitivity,[status(thm)],[542, 587])).
% 1.03/0.92  tff(589,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, identity), sk_c5) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))))),
% 1.03/0.92      inference(monotonicity,[status(thm)],[522, 588])).
% 1.03/0.92  tff(590,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))) = multiply(multiply(sk_c5, identity), sk_c5)),
% 1.03/0.92      inference(symmetry,[status(thm)],[589])).
% 1.03/0.92  tff(591,plain,
% 1.03/0.92      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))))),
% 1.03/0.92      inference(quant_inst,[status(thm)],[])).
% 1.03/0.92  tff(592,plain,
% 1.03/0.92      (multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))))),
% 1.03/0.92      inference(unit_resolution,[status(thm)],[591, 7])).
% 1.03/0.92  tff(593,plain,
% 1.03/0.92      (((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 1.03/0.92      inference(rewrite,[status(thm)],[])).
% 1.03/0.92  tff(594,plain,
% 1.03/0.92      (((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8))),
% 1.03/0.92      inference(rewrite,[status(thm)],[])).
% 1.03/0.92  tff(595,axiom,((multiply(sk_c1, sk_c7) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_10')).
% 1.03/0.92  tff(596,plain,
% 1.03/0.92      ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 1.03/0.92      inference(modus_ponens,[status(thm)],[595, 594])).
% 1.03/0.92  tff(597,plain,
% 1.03/0.92      ((inverse(sk_c4) = sk_c8) | (multiply(sk_c1, sk_c7) = sk_c8)),
% 1.03/0.92      inference(modus_ponens,[status(thm)],[596, 593])).
% 1.03/0.92  tff(598,plain,
% 1.03/0.92      (inverse(sk_c4) = sk_c8),
% 1.03/0.92      inference(unit_resolution,[status(thm)],[597, 513])).
% 1.03/0.92  tff(599,plain,
% 1.03/0.92      (sk_c8 = inverse(sk_c4)),
% 1.03/0.92      inference(symmetry,[status(thm)],[598])).
% 1.03/0.92  tff(600,plain,
% 1.03/0.92      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = inverse(sk_c4)),
% 1.03/0.92      inference(transitivity,[status(thm)],[523, 512, 511, 510, 18, 599])).
% 1.03/0.92  tff(601,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 1.03/0.92      inference(monotonicity,[status(thm)],[600])).
% 1.03/0.92  tff(602,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))),
% 1.03/0.92      inference(transitivity,[status(thm)],[601, 80, 173, 444, 437, 434, 432])).
% 1.03/0.92  tff(603,plain,
% 1.03/0.92      (multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, identity))),
% 1.03/0.92      inference(monotonicity,[status(thm)],[602, 523])).
% 1.03/0.92  tff(604,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, identity)) = multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.03/0.92      inference(symmetry,[status(thm)],[603])).
% 1.03/0.92  tff(605,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c5, sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.03/0.92      inference(monotonicity,[status(thm)],[403])).
% 1.03/0.92  tff(606,plain,
% 1.03/0.92      (multiply(multiply(sk_c5, sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.03/0.92      inference(symmetry,[status(thm)],[605])).
% 1.03/0.92  tff(607,plain,
% 1.03/0.92      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.03/0.92      inference(quant_inst,[status(thm)],[])).
% 1.03/0.92  tff(608,plain,
% 1.03/0.93      (multiply(multiply(sk_c5, sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 1.03/0.93      inference(unit_resolution,[status(thm)],[607, 7])).
% 1.03/0.93  tff(609,plain,
% 1.03/0.93      (multiply(sk_c5, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c5, sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.03/0.93      inference(symmetry,[status(thm)],[608])).
% 1.03/0.93  tff(610,plain,
% 1.03/0.93      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = identity),
% 1.03/0.93      inference(transitivity,[status(thm)],[562, 561, 560, 559, 100])).
% 1.03/0.93  tff(611,plain,
% 1.03/0.93      (multiply(sk_c5, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(sk_c5, identity)),
% 1.03/0.93      inference(monotonicity,[status(thm)],[610])).
% 1.03/0.93  tff(612,plain,
% 1.03/0.93      (multiply(sk_c5, identity) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 1.03/0.93      inference(symmetry,[status(thm)],[611])).
% 1.03/0.93  tff(613,plain,
% 1.03/0.93      (multiply(sk_c5, identity) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.03/0.93      inference(transitivity,[status(thm)],[612, 609, 606])).
% 1.03/0.93  tff(614,plain,
% 1.03/0.93      (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, identity)) = multiply(multiply(sk_c5, sk_c6), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 1.03/0.93      inference(monotonicity,[status(thm)],[430, 613])).
% 1.03/0.93  tff(615,plain,
% 1.03/0.93      (multiply(multiply(sk_c5, sk_c6), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, identity))),
% 1.03/0.93      inference(symmetry,[status(thm)],[614])).
% 1.03/0.93  tff(616,plain,
% 1.03/0.93      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.03/0.93      inference(quant_inst,[status(thm)],[])).
% 1.03/0.93  tff(617,plain,
% 1.03/0.93      (multiply(multiply(sk_c5, sk_c6), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.03/0.93      inference(unit_resolution,[status(thm)],[616, 7])).
% 1.03/0.93  tff(618,plain,
% 1.03/0.93      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = multiply(multiply(sk_c5, sk_c6), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 1.03/0.93      inference(symmetry,[status(thm)],[617])).
% 1.03/0.93  tff(619,plain,
% 1.03/0.93      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = sk_c7),
% 1.03/0.93      inference(transitivity,[status(thm)],[618, 615, 604, 592, 590, 586, 583, 580, 578, 487, 57])).
% 1.03/0.93  tff(620,plain,
% 1.03/0.93      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c7, sk_c6)),
% 1.03/0.93      inference(monotonicity,[status(thm)],[619, 576])).
% 1.03/0.93  tff(621,plain,
% 1.03/0.93      (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.03/0.93      inference(symmetry,[status(thm)],[620])).
% 1.03/0.93  tff(622,plain,
% 1.03/0.93      (multiply(sk_c4, sk_c8) = identity),
% 1.03/0.93      inference(transitivity,[status(thm)],[541, 530, 527, 512, 511, 510, 18, 456, 621, 565, 562, 561, 560, 559, 100])).
% 1.03/0.93  tff(623,plain,
% 1.03/0.93      (multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7))),
% 1.03/0.93      inference(modus_ponens,[status(thm)],[622, 558])).
% 1.03/0.93  tff(624,plain,
% 1.03/0.93      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = multiply(sk_c8, sk_c7)),
% 1.07/0.93      inference(monotonicity,[status(thm)],[524])).
% 1.07/0.93  tff(625,plain,
% 1.07/0.93      ((multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8) <=> (multiply(sk_c8, sk_c7) = sk_c8)),
% 1.07/0.93      inference(monotonicity,[status(thm)],[624])).
% 1.07/0.93  tff(626,plain,
% 1.07/0.93      ((multiply(sk_c8, sk_c7) = sk_c8) <=> (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)),
% 1.07/0.93      inference(symmetry,[status(thm)],[625])).
% 1.07/0.93  tff(627,plain,
% 1.07/0.93      (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, sk_c8)),
% 1.07/0.93      inference(monotonicity,[status(thm)],[545])).
% 1.07/0.93  tff(628,plain,
% 1.07/0.93      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c7, multiply(sk_c6, sk_c7)))),
% 1.07/0.93      inference(quant_inst,[status(thm)],[])).
% 1.07/0.93  tff(629,plain,
% 1.07/0.93      (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 1.07/0.93      inference(unit_resolution,[status(thm)],[628, 7])).
% 1.07/0.93  tff(630,plain,
% 1.07/0.93      (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 1.07/0.93      inference(monotonicity,[status(thm)],[456])).
% 1.07/0.93  tff(631,plain,
% 1.07/0.93      (multiply(sk_c8, sk_c7) = inverse(sk_c8)),
% 1.07/0.93      inference(transitivity,[status(thm)],[630, 629, 627, 388, 232])).
% 1.07/0.93  tff(632,plain,
% 1.07/0.93      ((multiply(sk_c8, sk_c7) = sk_c8) <=> (inverse(sk_c8) = sk_c8)),
% 1.07/0.93      inference(monotonicity,[status(thm)],[631])).
% 1.07/0.93  tff(633,plain,
% 1.07/0.93      ((inverse(sk_c8) = sk_c8) <=> (multiply(sk_c8, sk_c7) = sk_c8)),
% 1.07/0.93      inference(symmetry,[status(thm)],[632])).
% 1.07/0.93  tff(634,plain,
% 1.07/0.93      ((inverse(sk_c8) = sk_c8) <=> (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)),
% 1.07/0.93      inference(transitivity,[status(thm)],[633, 626])).
% 1.07/0.93  tff(635,plain,
% 1.07/0.93      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))) = multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.93      inference(symmetry,[status(thm)],[592])).
% 1.07/0.93  tff(636,plain,
% 1.07/0.93      (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c8, sk_c5)) = multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c8), sk_c5)),
% 1.07/0.93      inference(symmetry,[status(thm)],[580])).
% 1.07/0.93  tff(637,plain,
% 1.07/0.93      (multiply(sk_c4, multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), identity)) = multiply(sk_c4, sk_c8)),
% 1.07/0.93      inference(symmetry,[status(thm)],[541])).
% 1.07/0.93  tff(638,plain,
% 1.07/0.93      (multiply(sk_c5, identity) = multiply(multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), identity)),
% 1.07/0.93      inference(symmetry,[status(thm)],[527])).
% 1.07/0.93  tff(639,plain,
% 1.07/0.93      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = multiply(sk_c6, sk_c7)),
% 1.07/0.93      inference(transitivity,[status(thm)],[523, 638, 529, 637, 517, 573, 572, 478, 571])).
% 1.07/0.93  tff(640,plain,
% 1.07/0.93      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = sk_c5),
% 1.07/0.93      inference(transitivity,[status(thm)],[523, 638, 529, 637, 517])).
% 1.07/0.93  tff(641,plain,
% 1.07/0.93      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(sk_c5, multiply(sk_c6, sk_c7))),
% 1.07/0.93      inference(monotonicity,[status(thm)],[640, 639])).
% 1.07/0.93  tff(642,plain,
% 1.07/0.93      (sk_c7 = multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.07/0.93      inference(transitivity,[status(thm)],[142, 486, 577, 636, 582, 585, 589, 635, 603, 614, 617])).
% 1.07/0.93  tff(643,plain,
% 1.07/0.93      (multiply(sk_c7, sk_c8) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.93      inference(monotonicity,[status(thm)],[642, 563])).
% 1.07/0.93  tff(644,plain,
% 1.07/0.93      (inverse(sk_c8) = sk_c8),
% 1.07/0.93      inference(transitivity,[status(thm)],[231, 389, 643, 641, 490, 577, 636, 582, 585, 589, 635, 603, 614, 617, 523, 512, 511, 510, 18])).
% 1.07/0.93  tff(645,plain,
% 1.07/0.93      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8),
% 1.07/0.93      inference(modus_ponens,[status(thm)],[644, 634])).
% 1.07/0.93  tff(646,plain,
% 1.07/0.93      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6))) = sk_c6),
% 1.07/0.93      inference(transitivity,[status(thm)],[491, 398, 395, 388])).
% 1.07/0.93  tff(647,plain,
% 1.07/0.93      (multiply(multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c7) = multiply(sk_c6, sk_c7)),
% 1.07/0.93      inference(monotonicity,[status(thm)],[646])).
% 1.07/0.93  tff(648,plain,
% 1.07/0.93      (multiply(multiply(sk_c5, sk_c8), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7)),
% 1.07/0.93      inference(symmetry,[status(thm)],[500])).
% 1.07/0.93  tff(649,plain,
% 1.07/0.93      (multiply(sk_c8, multiply(multiply(sk_c5, sk_c8), sk_c7)) = multiply(sk_c8, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7))),
% 1.07/0.93      inference(monotonicity,[status(thm)],[648])).
% 1.07/0.93  tff(650,plain,
% 1.07/0.93      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(sk_c8, multiply(multiply(sk_c5, sk_c8), sk_c7))),
% 1.07/0.93      inference(monotonicity,[status(thm)],[555])).
% 1.07/0.93  tff(651,plain,
% 1.07/0.93      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(sk_c8, multiply(sk_c5, sk_c6))),
% 1.07/0.93      inference(transitivity,[status(thm)],[650, 649, 499, 647, 544, 479, 543, 474, 542, 541, 530, 527, 512, 511, 510, 18, 456, 455, 440])).
% 1.07/0.93  tff(652,plain,
% 1.07/0.93      ((multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7) <=> (multiply(sk_c8, multiply(sk_c5, sk_c6)) = sk_c7)),
% 1.07/0.93      inference(monotonicity,[status(thm)],[651])).
% 1.07/0.93  tff(653,plain,
% 1.07/0.93      ((multiply(sk_c8, multiply(sk_c5, sk_c6)) = sk_c7) <=> (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7)),
% 1.07/0.93      inference(symmetry,[status(thm)],[652])).
% 1.07/0.93  tff(654,plain,
% 1.07/0.93      (multiply(sk_c8, multiply(sk_c5, sk_c6)) = sk_c7),
% 1.07/0.93      inference(transitivity,[status(thm)],[441, 438, 394, 196, 446, 422, 420, 522, 618, 615, 604, 592, 590, 586, 583, 580, 578, 487, 57])).
% 1.07/0.93  tff(655,plain,
% 1.07/0.93      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7),
% 1.07/0.93      inference(modus_ponens,[status(thm)],[654, 653])).
% 1.07/0.93  tff(656,plain,
% 1.07/0.93      (inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = inverse(sk_c8)),
% 1.07/0.93      inference(monotonicity,[status(thm)],[524])).
% 1.07/0.93  tff(657,plain,
% 1.07/0.93      ((inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7) <=> (inverse(sk_c8) = sk_c7)),
% 1.07/0.93      inference(monotonicity,[status(thm)],[656])).
% 1.07/0.93  tff(658,plain,
% 1.07/0.93      ((inverse(sk_c8) = sk_c7) <=> (inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)),
% 1.07/0.93      inference(symmetry,[status(thm)],[657])).
% 1.07/0.93  tff(659,plain,
% 1.07/0.93      (sk_c8 = sk_c7),
% 1.07/0.93      inference(transitivity,[status(thm)],[196, 446, 422, 420, 522, 618, 615, 604, 592, 590, 586, 583, 580, 578, 487, 57])).
% 1.07/0.93  tff(660,plain,
% 1.07/0.93      ((inverse(sk_c8) = sk_c8) <=> (inverse(sk_c8) = sk_c7)),
% 1.07/0.93      inference(monotonicity,[status(thm)],[659])).
% 1.07/0.93  tff(661,plain,
% 1.07/0.93      ((inverse(sk_c8) = sk_c8) <=> (inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)),
% 1.07/0.93      inference(transitivity,[status(thm)],[660, 658])).
% 1.07/0.93  tff(662,plain,
% 1.07/0.93      (inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7),
% 1.07/0.93      inference(modus_ponens,[status(thm)],[644, 661])).
% 1.07/0.93  tff(663,plain,
% 1.07/0.93      (multiply(multiply(sk_c7, sk_c6), sk_c5) = multiply(sk_c8, sk_c5)),
% 1.07/0.93      inference(monotonicity,[status(thm)],[394])).
% 1.07/0.93  tff(664,plain,
% 1.07/0.93      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), sk_c5) = multiply(sk_c7, multiply(sk_c6, sk_c5)))),
% 1.07/0.93      inference(quant_inst,[status(thm)],[])).
% 1.07/0.93  tff(665,plain,
% 1.07/0.93      (multiply(multiply(sk_c7, sk_c6), sk_c5) = multiply(sk_c7, multiply(sk_c6, sk_c5))),
% 1.07/0.93      inference(unit_resolution,[status(thm)],[664, 7])).
% 1.07/0.93  tff(666,plain,
% 1.07/0.93      (multiply(sk_c7, multiply(sk_c6, sk_c5)) = multiply(multiply(sk_c7, sk_c6), sk_c5)),
% 1.07/0.93      inference(symmetry,[status(thm)],[665])).
% 1.07/0.93  tff(667,plain,
% 1.07/0.93      (multiply(sk_c7, multiply(sk_c6, sk_c5)) = sk_c7),
% 1.07/0.93      inference(transitivity,[status(thm)],[666, 663, 359])).
% 1.07/0.93  tff(668,plain,
% 1.07/0.93      (multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))) = multiply(sk_c6, sk_c7)),
% 1.07/0.93      inference(monotonicity,[status(thm)],[667])).
% 1.07/0.93  tff(669,plain,
% 1.07/0.93      (multiply(sk_c6, sk_c7) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5)))),
% 1.07/0.93      inference(symmetry,[status(thm)],[668])).
% 1.07/0.93  tff(670,plain,
% 1.07/0.93      (multiply(sk_c4, sk_c8) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5)))),
% 1.07/0.93      inference(transitivity,[status(thm)],[517, 573, 572, 478, 571, 669])).
% 1.07/0.93  tff(671,plain,
% 1.07/0.93      (multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))) = sk_c5),
% 1.07/0.93      inference(transitivity,[status(thm)],[668, 544, 479, 543, 474])).
% 1.07/0.93  tff(672,plain,
% 1.07/0.93      (multiply(sk_c8, multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = multiply(sk_c8, sk_c5)),
% 1.07/0.93      inference(monotonicity,[status(thm)],[671])).
% 1.07/0.93  tff(673,plain,
% 1.07/0.93      (multiply(sk_c8, multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = sk_c7),
% 1.07/0.93      inference(transitivity,[status(thm)],[672, 359])).
% 1.07/0.93  tff(674,plain,
% 1.07/0.93      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))))) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7)))))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))))) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7)))))),
% 1.07/0.93      inference(rewrite,[status(thm)],[])).
% 1.07/0.93  tff(675,plain,
% 1.07/0.93      (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))))) | (~(multiply(sk_c8, multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7)))) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))))) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7)))))),
% 1.07/0.93      inference(rewrite,[status(thm)],[])).
% 1.07/0.93  tff(676,plain,
% 1.07/0.93      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))))) | (~(multiply(sk_c8, multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7)))) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))))) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7))))))),
% 1.07/0.93      inference(monotonicity,[status(thm)],[675])).
% 1.07/0.93  tff(677,plain,
% 1.07/0.93      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))))) | (~(multiply(sk_c8, multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7)))) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))))) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7)))))),
% 1.07/0.93      inference(transitivity,[status(thm)],[676, 674])).
% 1.07/0.93  tff(678,plain,
% 1.07/0.93      ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))))) | (~(multiply(sk_c8, multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = sk_c7)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7)))) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)))),
% 1.07/0.93      inference(quant_inst,[status(thm)],[])).
% 1.07/0.94  tff(679,plain,
% 1.07/0.94      ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7)) | (~(multiply(sk_c8, multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)) | (~(inverse(sk_c4) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))))) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7))))),
% 1.07/0.94      inference(modus_ponens,[status(thm)],[678, 677])).
% 1.07/0.94  tff(680,plain,
% 1.07/0.94      ((~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7))))),
% 1.07/0.94      inference(unit_resolution,[status(thm)],[679, 388, 394, 231, 598, 349, 673, 670])).
% 1.07/0.94  tff(681,plain,
% 1.07/0.94      ($false),
% 1.07/0.94      inference(unit_resolution,[status(thm)],[680, 662, 655, 645, 623])).
% 1.07/0.94  tff(682,plain,(multiply(sk_c1, sk_c7) = sk_c8), inference(lemma,lemma(discharge,[]))).
% 1.07/0.94  tff(683,plain,
% 1.07/0.94      (sk_c8 = multiply(sk_c1, sk_c7)),
% 1.07/0.94      inference(symmetry,[status(thm)],[682])).
% 1.07/0.94  tff(684,plain,
% 1.07/0.94      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = multiply(sk_c5, identity)),
% 1.07/0.94      inference(symmetry,[status(thm)],[418])).
% 1.07/0.94  tff(685,plain,
% 1.07/0.94      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = multiply(sk_c1, sk_c7)),
% 1.07/0.94      inference(transitivity,[status(thm)],[684, 512, 511, 510, 18, 683])).
% 1.07/0.94  tff(686,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c1, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[685])).
% 1.07/0.94  tff(687,plain,
% 1.07/0.94      (multiply(multiply(sk_c1, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.07/0.94      inference(symmetry,[status(thm)],[686])).
% 1.07/0.94  tff(688,plain,
% 1.07/0.94      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c1, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(sk_c1, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c7)))))),
% 1.07/0.94      inference(quant_inst,[status(thm)],[])).
% 1.07/0.94  tff(689,plain,
% 1.07/0.94      (multiply(multiply(sk_c1, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(sk_c1, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c7))))),
% 1.07/0.94      inference(unit_resolution,[status(thm)],[688, 7])).
% 1.07/0.94  tff(690,plain,
% 1.07/0.94      (multiply(sk_c1, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c7)))) = multiply(multiply(sk_c1, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.07/0.94      inference(symmetry,[status(thm)],[689])).
% 1.07/0.94  tff(691,plain,
% 1.07/0.94      (multiply(multiply(sk_c7, sk_c8), sk_c5) = multiply(sk_c6, sk_c5)),
% 1.07/0.94      inference(monotonicity,[status(thm)],[388])).
% 1.07/0.94  tff(692,plain,
% 1.07/0.94      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c8), sk_c5) = multiply(sk_c7, multiply(sk_c8, sk_c5)))),
% 1.07/0.94      inference(quant_inst,[status(thm)],[])).
% 1.07/0.94  tff(693,plain,
% 1.07/0.94      (multiply(multiply(sk_c7, sk_c8), sk_c5) = multiply(sk_c7, multiply(sk_c8, sk_c5))),
% 1.07/0.94      inference(unit_resolution,[status(thm)],[692, 7])).
% 1.07/0.94  tff(694,plain,
% 1.07/0.94      (multiply(sk_c7, multiply(sk_c8, sk_c5)) = multiply(multiply(sk_c7, sk_c8), sk_c5)),
% 1.07/0.94      inference(symmetry,[status(thm)],[693])).
% 1.07/0.94  tff(695,plain,
% 1.07/0.94      (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c8, sk_c5))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[360])).
% 1.07/0.94  tff(696,plain,
% 1.07/0.94      (multiply(sk_c7, sk_c7) = multiply(sk_c6, sk_c5)),
% 1.07/0.94      inference(transitivity,[status(thm)],[695, 694, 691])).
% 1.07/0.94  tff(697,plain,
% 1.07/0.94      (multiply(sk_c7, multiply(sk_c7, sk_c7)) = multiply(sk_c7, multiply(sk_c6, sk_c5))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[696])).
% 1.07/0.94  tff(698,plain,
% 1.07/0.94      (multiply(sk_c7, multiply(sk_c8, sk_c5)) = multiply(sk_c7, sk_c7)),
% 1.07/0.94      inference(symmetry,[status(thm)],[695])).
% 1.07/0.94  tff(699,plain,
% 1.07/0.94      (multiply(sk_c6, sk_c5) = multiply(multiply(sk_c7, sk_c8), sk_c5)),
% 1.07/0.94      inference(symmetry,[status(thm)],[691])).
% 1.07/0.94  tff(700,plain,
% 1.07/0.94      (multiply(sk_c8, multiply(multiply(sk_c5, sk_c8), sk_c7)) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.07/0.94      inference(symmetry,[status(thm)],[650])).
% 1.07/0.94  tff(701,plain,
% 1.07/0.94      (sk_c5 = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.07/0.94      inference(transitivity,[status(thm)],[573, 475, 478, 480, 495, 498, 501, 700])).
% 1.07/0.94  tff(702,plain,
% 1.07/0.94      (multiply(sk_c6, sk_c5) = multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[701])).
% 1.07/0.94  tff(703,plain,
% 1.07/0.94      (multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7)))) = multiply(sk_c6, sk_c5)),
% 1.07/0.94      inference(symmetry,[status(thm)],[702])).
% 1.07/0.94  tff(704,plain,
% 1.07/0.94      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7)))))),
% 1.07/0.94      inference(quant_inst,[status(thm)],[])).
% 1.07/0.94  tff(705,plain,
% 1.07/0.94      (multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))))),
% 1.07/0.94      inference(unit_resolution,[status(thm)],[704, 7])).
% 1.07/0.94  tff(706,plain,
% 1.07/0.94      (multiply(sk_c6, sk_c8) = multiply(sk_c5, sk_c6)),
% 1.07/0.94      inference(transitivity,[status(thm)],[241, 444, 437, 434, 432, 430])).
% 1.07/0.94  tff(707,plain,
% 1.07/0.94      (multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[706])).
% 1.07/0.94  tff(708,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.07/0.94      inference(symmetry,[status(thm)],[707])).
% 1.07/0.94  tff(709,plain,
% 1.07/0.94      (multiply(sk_c5, multiply(sk_c8, sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7)),
% 1.07/0.94      inference(transitivity,[status(thm)],[555, 648])).
% 1.07/0.94  tff(710,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[429, 709])).
% 1.07/0.94  tff(711,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7)) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.07/0.94      inference(symmetry,[status(thm)],[710])).
% 1.07/0.94  tff(712,plain,
% 1.07/0.94      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c7) = multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7)))),
% 1.07/0.94      inference(quant_inst,[status(thm)],[])).
% 1.07/0.94  tff(713,plain,
% 1.07/0.94      (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c7) = multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7))),
% 1.07/0.94      inference(unit_resolution,[status(thm)],[712, 7])).
% 1.07/0.94  tff(714,plain,
% 1.07/0.94      (multiply(sk_c5, multiply(sk_c6, multiply(sk_c5, multiply(sk_c7, sk_c6)))) = multiply(sk_c5, sk_c8)),
% 1.07/0.94      inference(monotonicity,[status(thm)],[405])).
% 1.07/0.94  tff(715,plain,
% 1.07/0.94      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c5, multiply(sk_c7, sk_c6)))))),
% 1.07/0.94      inference(quant_inst,[status(thm)],[])).
% 1.07/0.94  tff(716,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c5, multiply(sk_c7, sk_c6))))),
% 1.07/0.94      inference(unit_resolution,[status(thm)],[715, 7])).
% 1.07/0.94  tff(717,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, multiply(sk_c7, sk_c6)))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[430])).
% 1.07/0.94  tff(718,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(sk_c5, sk_c8)),
% 1.07/0.94      inference(transitivity,[status(thm)],[717, 716, 714])).
% 1.07/0.94  tff(719,plain,
% 1.07/0.94      (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c7) = multiply(multiply(sk_c5, sk_c8), sk_c7)),
% 1.07/0.94      inference(monotonicity,[status(thm)],[718])).
% 1.07/0.94  tff(720,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, sk_c8), sk_c7) = multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c7)),
% 1.07/0.94      inference(symmetry,[status(thm)],[719])).
% 1.07/0.94  tff(721,plain,
% 1.07/0.94      (multiply(sk_c5, multiply(sk_c8, sk_c7)) = multiply(sk_c7, sk_c7)),
% 1.07/0.94      inference(transitivity,[status(thm)],[555, 720, 713, 711, 708, 705, 703, 699, 693, 698])).
% 1.07/0.94  tff(722,plain,
% 1.07/0.94      (multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(sk_c7, multiply(sk_c7, sk_c7))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[721])).
% 1.07/0.94  tff(723,plain,
% 1.07/0.94      (multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7),
% 1.07/0.94      inference(transitivity,[status(thm)],[722, 697, 666, 663, 359])).
% 1.07/0.94  tff(724,plain,
% 1.07/0.94      (multiply(sk_c1, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c7)))) = multiply(sk_c1, sk_c7)),
% 1.07/0.94      inference(monotonicity,[status(thm)],[723])).
% 1.07/0.94  tff(725,plain,
% 1.07/0.94      (multiply(sk_c1, sk_c7) = multiply(sk_c1, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c7))))),
% 1.07/0.94      inference(symmetry,[status(thm)],[724])).
% 1.07/0.94  tff(726,plain,
% 1.07/0.94      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = multiply(sk_c6, sk_c7)),
% 1.07/0.94      inference(transitivity,[status(thm)],[684, 512, 511, 510, 18, 683, 725, 690, 687, 506, 502, 499, 496])).
% 1.07/0.94  tff(727,plain,
% 1.07/0.94      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = sk_c5),
% 1.07/0.94      inference(transitivity,[status(thm)],[684, 512, 511, 510, 18, 683, 725, 690, 687, 506, 502, 499, 496, 481, 479, 476, 474])).
% 1.07/0.94  tff(728,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(sk_c5, multiply(sk_c6, sk_c7))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[727, 726])).
% 1.07/0.94  tff(729,plain,
% 1.07/0.94      (multiply(sk_c8, sk_c8) = sk_c7),
% 1.07/0.94      inference(transitivity,[status(thm)],[448, 728, 490, 487, 57])).
% 1.07/0.94  tff(730,plain,
% 1.07/0.94      ((multiply(sk_c8, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))) <=> (sk_c7 = inverse(sk_c8))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[729, 485])).
% 1.07/0.94  tff(731,plain,
% 1.07/0.94      ((multiply(sk_c8, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))) <=> (inverse(sk_c8) = sk_c7)),
% 1.07/0.94      inference(transitivity,[status(thm)],[730, 454])).
% 1.07/0.94  tff(732,plain,
% 1.07/0.94      ((inverse(sk_c8) = sk_c7) <=> (multiply(sk_c8, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.07/0.94      inference(symmetry,[status(thm)],[731])).
% 1.07/0.94  tff(733,plain,
% 1.07/0.94      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.07/0.94      inference(quant_inst,[status(thm)],[])).
% 1.07/0.94  tff(734,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, sk_c8), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 1.07/0.94      inference(unit_resolution,[status(thm)],[733, 7])).
% 1.07/0.94  tff(735,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, sk_c8), sk_c8) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c8, multiply(sk_c5, sk_c6)))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[552, 457])).
% 1.07/0.94  tff(736,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c8, multiply(sk_c5, sk_c6))) = multiply(multiply(sk_c5, sk_c8), sk_c8)),
% 1.07/0.94      inference(symmetry,[status(thm)],[735])).
% 1.07/0.94  tff(737,plain,
% 1.07/0.94      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c8), multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c8, multiply(sk_c5, sk_c6))))),
% 1.07/0.94      inference(quant_inst,[status(thm)],[])).
% 1.07/0.94  tff(738,plain,
% 1.07/0.94      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c8), multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c8, multiply(sk_c5, sk_c6)))),
% 1.07/0.94      inference(unit_resolution,[status(thm)],[737, 7])).
% 1.07/0.94  tff(739,plain,
% 1.07/0.94      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = sk_c8),
% 1.07/0.94      inference(transitivity,[status(thm)],[684, 512, 511, 510, 18])).
% 1.07/0.94  tff(740,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[739])).
% 1.07/0.94  tff(741,plain,
% 1.07/0.94      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.07/0.94      inference(symmetry,[status(thm)],[740])).
% 1.07/0.94  tff(742,plain,
% 1.07/0.94      (identity = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.07/0.94      inference(transitivity,[status(thm)],[173, 416, 413, 411, 409, 741])).
% 1.07/0.94  tff(743,plain,
% 1.07/0.94      (multiply(sk_c4, identity) = multiply(sk_c4, multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[742])).
% 1.07/0.94  tff(744,plain,
% 1.07/0.94      (multiply(sk_c4, multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(sk_c4, identity)),
% 1.07/0.94      inference(symmetry,[status(thm)],[743])).
% 1.07/0.94  tff(745,plain,
% 1.07/0.94      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c4, multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.07/0.94      inference(quant_inst,[status(thm)],[])).
% 1.07/0.94  tff(746,plain,
% 1.07/0.94      (multiply(multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c4, multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 1.07/0.94      inference(unit_resolution,[status(thm)],[745, 7])).
% 1.07/0.94  tff(747,plain,
% 1.07/0.94      ((sk_c8 = inverse(sk_c8)) <=> (inverse(sk_c8) = sk_c8)),
% 1.07/0.94      inference(commutativity,[status(thm)],[])).
% 1.07/0.94  tff(748,plain,
% 1.07/0.94      (multiply(multiply(sk_c7, sk_c7), sk_c6) = sk_c6),
% 1.07/0.94      inference(transitivity,[status(thm)],[424, 426, 388])).
% 1.07/0.94  tff(749,plain,
% 1.07/0.94      (multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)) = multiply(sk_c5, sk_c6)),
% 1.07/0.94      inference(monotonicity,[status(thm)],[748])).
% 1.07/0.94  tff(750,plain,
% 1.07/0.94      (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))),
% 1.07/0.94      inference(symmetry,[status(thm)],[749])).
% 1.07/0.94  tff(751,plain,
% 1.07/0.94      (multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, sk_c6)) = multiply(identity, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[419, 750])).
% 1.07/0.94  tff(752,plain,
% 1.07/0.94      (multiply(inverse(sk_c8), sk_c8) = multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, sk_c6)))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[231, 457])).
% 1.07/0.94  tff(753,plain,
% 1.07/0.94      (multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c6))) = multiply(sk_c5, sk_c6)),
% 1.07/0.94      inference(transitivity,[status(thm)],[465, 560, 415, 752, 437, 751, 432, 749])).
% 1.07/0.94  tff(754,plain,
% 1.07/0.94      (multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c6)))) = multiply(sk_c6, multiply(sk_c5, sk_c6))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[753])).
% 1.07/0.94  tff(755,plain,
% 1.07/0.94      (sk_c5 = multiply(sk_c6, sk_c7)),
% 1.07/0.94      inference(transitivity,[status(thm)],[573, 475, 478, 480])).
% 1.07/0.94  tff(756,plain,
% 1.07/0.94      (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c6)))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[755, 570])).
% 1.07/0.94  tff(757,plain,
% 1.07/0.94      (multiply(sk_c5, multiply(sk_c8, sk_c8)) = inverse(sk_c8)),
% 1.07/0.94      inference(transitivity,[status(thm)],[756, 472, 754, 567, 461, 566, 388, 232])).
% 1.07/0.94  tff(758,plain,
% 1.07/0.94      (multiply(sk_c6, sk_c8) = multiply(sk_c5, sk_c6)),
% 1.07/0.94      inference(transitivity,[status(thm)],[241, 752, 437, 751, 432, 749])).
% 1.07/0.94  tff(759,plain,
% 1.07/0.94      (multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[758])).
% 1.07/0.94  tff(760,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.07/0.94      inference(symmetry,[status(thm)],[759])).
% 1.07/0.94  tff(761,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[750, 709])).
% 1.07/0.94  tff(762,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7)) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.07/0.94      inference(symmetry,[status(thm)],[761])).
% 1.07/0.94  tff(763,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, multiply(sk_c7, sk_c6)))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[749])).
% 1.07/0.94  tff(764,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(sk_c5, sk_c8)),
% 1.07/0.94      inference(transitivity,[status(thm)],[763, 716, 714])).
% 1.07/0.94  tff(765,plain,
% 1.07/0.94      (multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c7) = multiply(multiply(sk_c5, sk_c8), sk_c7)),
% 1.07/0.94      inference(monotonicity,[status(thm)],[764])).
% 1.07/0.94  tff(766,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, sk_c8), sk_c7) = multiply(multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c7)),
% 1.07/0.94      inference(symmetry,[status(thm)],[765])).
% 1.07/0.94  tff(767,plain,
% 1.07/0.94      (multiply(sk_c5, multiply(sk_c8, sk_c7)) = multiply(sk_c7, sk_c7)),
% 1.07/0.94      inference(transitivity,[status(thm)],[555, 766, 713, 762, 760, 705, 703, 699, 693, 698])).
% 1.07/0.94  tff(768,plain,
% 1.07/0.94      (multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(sk_c7, multiply(sk_c7, sk_c7))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[767])).
% 1.07/0.94  tff(769,plain,
% 1.07/0.94      (multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7),
% 1.07/0.94      inference(transitivity,[status(thm)],[768, 697, 666, 663, 359])).
% 1.07/0.94  tff(770,plain,
% 1.07/0.94      (multiply(sk_c1, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c7)))) = multiply(sk_c1, sk_c7)),
% 1.07/0.94      inference(monotonicity,[status(thm)],[769])).
% 1.07/0.94  tff(771,plain,
% 1.07/0.94      (identity = multiply(sk_c5, sk_c6)),
% 1.07/0.94      inference(transitivity,[status(thm)],[173, 752, 437, 751, 432, 749])).
% 1.07/0.94  tff(772,plain,
% 1.07/0.94      (multiply(identity, sk_c8) = multiply(multiply(sk_c5, sk_c6), sk_c8)),
% 1.07/0.94      inference(monotonicity,[status(thm)],[771])).
% 1.07/0.94  tff(773,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, sk_c6), sk_c8) = multiply(identity, sk_c8)),
% 1.07/0.94      inference(symmetry,[status(thm)],[772])).
% 1.07/0.94  tff(774,plain,
% 1.07/0.94      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = multiply(sk_c1, sk_c7)),
% 1.07/0.94      inference(transitivity,[status(thm)],[684, 512, 511, 773, 18, 683])).
% 1.07/0.94  tff(775,plain,
% 1.07/0.94      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c1, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[774])).
% 1.07/0.94  tff(776,plain,
% 1.07/0.94      (sk_c8 = multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.07/0.94      inference(transitivity,[status(thm)],[196, 772, 422, 420, 418])).
% 1.07/0.94  tff(777,plain,
% 1.07/0.94      (multiply(sk_c8, multiply(multiply(sk_c5, sk_c8), sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.07/0.94      inference(monotonicity,[status(thm)],[776, 504])).
% 1.07/0.94  tff(778,plain,
% 1.07/0.94      (multiply(multiply(sk_c8, multiply(sk_c5, sk_c6)), sk_c5) = multiply(sk_c8, sk_c5)),
% 1.07/0.94      inference(monotonicity,[status(thm)],[442])).
% 1.07/0.94  tff(779,plain,
% 1.07/0.94      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c5, sk_c6)), sk_c5) = multiply(sk_c8, multiply(multiply(sk_c5, sk_c6), sk_c5)))),
% 1.07/0.94      inference(quant_inst,[status(thm)],[])).
% 1.07/0.94  tff(780,plain,
% 1.07/0.94      (multiply(multiply(sk_c8, multiply(sk_c5, sk_c6)), sk_c5) = multiply(sk_c8, multiply(multiply(sk_c5, sk_c6), sk_c5))),
% 1.07/0.94      inference(unit_resolution,[status(thm)],[779, 7])).
% 1.07/0.94  tff(781,plain,
% 1.07/0.94      (multiply(sk_c8, multiply(multiply(sk_c5, sk_c6), sk_c5)) = multiply(multiply(sk_c8, multiply(sk_c5, sk_c6)), sk_c5)),
% 1.07/0.94      inference(symmetry,[status(thm)],[780])).
% 1.07/0.94  tff(782,plain,
% 1.07/0.94      (multiply(sk_c8, multiply(multiply(sk_c5, sk_c6), sk_c5)) = sk_c7),
% 1.07/0.94      inference(transitivity,[status(thm)],[781, 778, 359])).
% 1.07/0.94  tff(783,plain,
% 1.07/0.94      (multiply(sk_c6, multiply(sk_c8, multiply(multiply(sk_c5, sk_c6), sk_c5))) = multiply(sk_c6, sk_c7)),
% 1.07/0.94      inference(monotonicity,[status(thm)],[782])).
% 1.07/0.94  tff(784,plain,
% 1.07/0.94      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c8), multiply(multiply(sk_c5, sk_c6), sk_c5)) = multiply(sk_c6, multiply(sk_c8, multiply(multiply(sk_c5, sk_c6), sk_c5))))),
% 1.07/0.94      inference(quant_inst,[status(thm)],[])).
% 1.07/0.94  tff(785,plain,
% 1.07/0.94      (multiply(multiply(sk_c6, sk_c8), multiply(multiply(sk_c5, sk_c6), sk_c5)) = multiply(sk_c6, multiply(sk_c8, multiply(multiply(sk_c5, sk_c6), sk_c5)))),
% 1.07/0.94      inference(unit_resolution,[status(thm)],[784, 7])).
% 1.07/0.95  tff(786,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), sk_c5) = multiply(sk_c5, multiply(sk_c6, sk_c5)))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(787,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, sk_c6), sk_c5) = multiply(sk_c5, multiply(sk_c6, sk_c5))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[786, 7])).
% 1.07/0.95  tff(788,plain,
% 1.07/0.95      (multiply(sk_c5, multiply(sk_c6, sk_c5)) = multiply(multiply(sk_c5, sk_c6), sk_c5)),
% 1.07/0.95      inference(symmetry,[status(thm)],[787])).
% 1.07/0.95  tff(789,plain,
% 1.07/0.95      (multiply(sk_c6, sk_c5) = multiply(sk_c7, sk_c7)),
% 1.07/0.95      inference(transitivity,[status(thm)],[699, 693, 698])).
% 1.07/0.95  tff(790,plain,
% 1.07/0.95      (multiply(sk_c5, multiply(sk_c6, sk_c5)) = multiply(sk_c5, multiply(sk_c7, sk_c7))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[789])).
% 1.07/0.95  tff(791,plain,
% 1.07/0.95      (multiply(sk_c5, multiply(sk_c7, sk_c7)) = multiply(sk_c5, multiply(sk_c6, sk_c5))),
% 1.07/0.95      inference(symmetry,[status(thm)],[790])).
% 1.07/0.95  tff(792,plain,
% 1.07/0.95      (multiply(sk_c5, multiply(sk_c7, sk_c7)) = multiply(multiply(sk_c5, sk_c6), sk_c5)),
% 1.07/0.95      inference(transitivity,[status(thm)],[791, 788])).
% 1.07/0.95  tff(793,plain,
% 1.07/0.95      (multiply(identity, multiply(sk_c5, multiply(sk_c7, sk_c7))) = multiply(multiply(sk_c6, sk_c8), multiply(multiply(sk_c5, sk_c6), sk_c5))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[243, 792])).
% 1.07/0.95  tff(794,plain,
% 1.07/0.95      (multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))) = multiply(sk_c7, sk_c7)),
% 1.07/0.95      inference(monotonicity,[status(thm)],[667])).
% 1.07/0.95  tff(795,plain,
% 1.07/0.95      (multiply(sk_c5, multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = multiply(sk_c5, multiply(sk_c7, sk_c7))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[794])).
% 1.07/0.95  tff(796,plain,
% 1.07/0.95      (multiply(identity, multiply(sk_c5, multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))) = multiply(identity, multiply(sk_c5, multiply(sk_c7, sk_c7)))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[795])).
% 1.07/0.95  tff(797,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c5), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = multiply(identity, multiply(sk_c5, multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(798,plain,
% 1.07/0.95      (multiply(multiply(identity, sk_c5), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = multiply(identity, multiply(sk_c5, multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[797, 7])).
% 1.07/0.95  tff(799,plain,
% 1.07/0.95      (multiply(sk_c7, sk_c7) = multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))),
% 1.07/0.95      inference(symmetry,[status(thm)],[794])).
% 1.07/0.95  tff(800,plain,
% 1.07/0.95      (multiply(sk_c5, multiply(sk_c7, sk_c7)) = multiply(multiply(identity, sk_c5), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[573, 799])).
% 1.07/0.95  tff(801,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c7), sk_c7) = multiply(sk_c5, multiply(sk_c7, sk_c7)))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(802,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, sk_c7), sk_c7) = multiply(sk_c5, multiply(sk_c7, sk_c7))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[801, 7])).
% 1.07/0.95  tff(803,plain,
% 1.07/0.95      (multiply(sk_c5, sk_c7) = multiply(sk_c5, multiply(sk_c8, sk_c5))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[360])).
% 1.07/0.95  tff(804,plain,
% 1.07/0.95      (multiply(sk_c5, multiply(sk_c8, sk_c5)) = multiply(sk_c5, sk_c7)),
% 1.07/0.95      inference(symmetry,[status(thm)],[803])).
% 1.07/0.95  tff(805,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), sk_c5) = multiply(sk_c5, multiply(sk_c8, sk_c5)))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(806,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, sk_c8), sk_c5) = multiply(sk_c5, multiply(sk_c8, sk_c5))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[805, 7])).
% 1.07/0.95  tff(807,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c5) = multiply(multiply(sk_c5, sk_c8), sk_c5)),
% 1.07/0.95      inference(monotonicity,[status(thm)],[403])).
% 1.07/0.95  tff(808,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c5) = multiply(sk_c5, sk_c7)),
% 1.07/0.95      inference(transitivity,[status(thm)],[807, 806, 804])).
% 1.07/0.95  tff(809,plain,
% 1.07/0.95      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c5), sk_c7) = multiply(multiply(sk_c5, sk_c7), sk_c7)),
% 1.07/0.95      inference(monotonicity,[status(thm)],[808])).
% 1.07/0.95  tff(810,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c5), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, sk_c7)))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(811,plain,
% 1.07/0.95      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c5), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, sk_c7))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[810, 7])).
% 1.07/0.95  tff(812,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, sk_c7)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c5), sk_c7)),
% 1.07/0.95      inference(symmetry,[status(thm)],[811])).
% 1.07/0.95  tff(813,plain,
% 1.07/0.95      (multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c5))) = multiply(sk_c5, sk_c7)),
% 1.07/0.95      inference(monotonicity,[status(thm)],[667])).
% 1.07/0.95  tff(814,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, sk_c7))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[813])).
% 1.07/0.95  tff(815,plain,
% 1.07/0.95      (multiply(sk_c5, sk_c7) = multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c5)))),
% 1.07/0.95      inference(symmetry,[status(thm)],[813])).
% 1.07/0.95  tff(816,plain,
% 1.07/0.95      (multiply(multiply(identity, sk_c5), sk_c7) = multiply(sk_c5, sk_c7)),
% 1.07/0.95      inference(monotonicity,[status(thm)],[474])).
% 1.07/0.95  tff(817,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c5), sk_c7) = multiply(identity, multiply(sk_c5, sk_c7)))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(818,plain,
% 1.07/0.95      (multiply(multiply(identity, sk_c5), sk_c7) = multiply(identity, multiply(sk_c5, sk_c7))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[817, 7])).
% 1.07/0.95  tff(819,plain,
% 1.07/0.95      (multiply(identity, multiply(sk_c5, sk_c7)) = multiply(multiply(identity, sk_c5), sk_c7)),
% 1.07/0.95      inference(symmetry,[status(thm)],[818])).
% 1.07/0.95  tff(820,plain,
% 1.07/0.95      (multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = multiply(identity, multiply(sk_c5, sk_c7))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[419, 813])).
% 1.07/0.95  tff(821,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c5))))))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(822,plain,
% 1.07/0.95      (multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c5)))))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[821, 7])).
% 1.07/0.95  tff(823,plain,
% 1.07/0.95      (multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c5))))) = multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c5))))),
% 1.07/0.95      inference(symmetry,[status(thm)],[822])).
% 1.07/0.95  tff(824,plain,
% 1.07/0.95      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = multiply(sk_c8, multiply(sk_c5, sk_c7))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[813])).
% 1.07/0.95  tff(825,plain,
% 1.07/0.95      (multiply(sk_c8, multiply(sk_c5, sk_c7)) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c5))))),
% 1.07/0.95      inference(symmetry,[status(thm)],[824])).
% 1.07/0.95  tff(826,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c5), sk_c7) = multiply(sk_c8, multiply(sk_c5, sk_c7)))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(827,plain,
% 1.07/0.95      (multiply(multiply(sk_c8, sk_c5), sk_c7) = multiply(sk_c8, multiply(sk_c5, sk_c7))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[826, 7])).
% 1.07/0.95  tff(828,plain,
% 1.07/0.95      (multiply(multiply(sk_c8, sk_c5), sk_c7) = multiply(sk_c7, sk_c7)),
% 1.07/0.95      inference(monotonicity,[status(thm)],[359])).
% 1.07/0.95  tff(829,plain,
% 1.07/0.95      (multiply(sk_c7, sk_c7) = multiply(multiply(sk_c8, sk_c5), sk_c7)),
% 1.07/0.95      inference(symmetry,[status(thm)],[828])).
% 1.07/0.95  tff(830,plain,
% 1.07/0.95      (multiply(sk_c7, sk_c7) = multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c5))))),
% 1.07/0.95      inference(transitivity,[status(thm)],[829, 827, 825])).
% 1.07/0.95  tff(831,plain,
% 1.07/0.95      (multiply(sk_c6, multiply(sk_c7, sk_c7)) = multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c5)))))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[830])).
% 1.07/0.95  tff(832,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, sk_c7)))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(833,plain,
% 1.07/0.95      (multiply(multiply(sk_c6, sk_c7), sk_c7) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[832, 7])).
% 1.07/0.95  tff(834,plain,
% 1.07/0.95      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(sk_c6, sk_c7)),
% 1.07/0.95      inference(transitivity,[status(thm)],[650, 502, 499, 496])).
% 1.07/0.95  tff(835,plain,
% 1.07/0.95      (multiply(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))), sk_c7) = multiply(multiply(sk_c6, sk_c7), sk_c7)),
% 1.07/0.95      inference(monotonicity,[status(thm)],[834])).
% 1.07/0.95  tff(836,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))), sk_c7) = multiply(sk_c8, multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c7)))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(837,plain,
% 1.07/0.95      (multiply(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))), sk_c7) = multiply(sk_c8, multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c7))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[836, 7])).
% 1.07/0.95  tff(838,plain,
% 1.07/0.95      (multiply(sk_c8, multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c7)) = multiply(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))), sk_c7)),
% 1.07/0.95      inference(symmetry,[status(thm)],[837])).
% 1.07/0.95  tff(839,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c7)),
% 1.07/0.95      inference(monotonicity,[status(thm)],[555])).
% 1.07/0.95  tff(840,plain,
% 1.07/0.95      (multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c7)),
% 1.07/0.95      inference(symmetry,[status(thm)],[839])).
% 1.07/0.95  tff(841,plain,
% 1.07/0.95      (multiply(sk_c8, multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c7)) = multiply(sk_c8, multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c7))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[840])).
% 1.07/0.95  tff(842,plain,
% 1.07/0.95      (multiply(sk_c8, multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c7)) = multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c5)))),
% 1.07/0.95      inference(transitivity,[status(thm)],[841, 838, 835, 833, 831, 823, 820, 819, 816, 815])).
% 1.07/0.95  tff(843,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c8, multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c7))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c7, multiply(sk_c6, sk_c5))))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[842])).
% 1.07/0.95  tff(844,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c8), multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c8, multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c7))))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(845,plain,
% 1.07/0.95      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c8), multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c8, multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c7)))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[844, 7])).
% 1.07/0.95  tff(846,plain,
% 1.07/0.95      (multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c7) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7), sk_c7)),
% 1.07/0.95      inference(monotonicity,[status(thm)],[648])).
% 1.07/0.95  tff(847,plain,
% 1.07/0.95      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7), sk_c7) = multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c7)),
% 1.07/0.95      inference(symmetry,[status(thm)],[846])).
% 1.07/0.95  tff(848,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c7, sk_c7)))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(849,plain,
% 1.07/0.95      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c7, sk_c7))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[848, 7])).
% 1.07/0.95  tff(850,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7), sk_c7)),
% 1.07/0.95      inference(symmetry,[status(thm)],[849])).
% 1.07/0.95  tff(851,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, sk_c6))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[749])).
% 1.07/0.95  tff(852,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))),
% 1.07/0.95      inference(symmetry,[status(thm)],[851])).
% 1.07/0.95  tff(853,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, sk_c8), multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, sk_c6))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[552])).
% 1.07/0.95  tff(854,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), multiply(sk_c5, sk_c6)) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c5, sk_c6))))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(855,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, sk_c8), multiply(sk_c5, sk_c6)) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c5, sk_c6)))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[854, 7])).
% 1.07/0.95  tff(856,plain,
% 1.07/0.95      (multiply(sk_c5, multiply(sk_c8, multiply(sk_c5, sk_c6))) = multiply(multiply(sk_c5, sk_c8), multiply(sk_c5, sk_c6))),
% 1.07/0.95      inference(symmetry,[status(thm)],[855])).
% 1.07/0.95  tff(857,plain,
% 1.07/0.95      (multiply(sk_c5, sk_c8) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c5, sk_c6)))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[457])).
% 1.07/0.95  tff(858,plain,
% 1.07/0.95      (multiply(sk_c5, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))),
% 1.07/0.95      inference(transitivity,[status(thm)],[403, 857, 856, 853, 852])).
% 1.07/0.95  tff(859,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c7, sk_c7)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[858, 799])).
% 1.07/0.95  tff(860,plain,
% 1.07/0.95      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c7, sk_c7))),
% 1.07/0.95      inference(symmetry,[status(thm)],[859])).
% 1.07/0.95  tff(861,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(862,plain,
% 1.07/0.95      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[861, 7])).
% 1.07/0.95  tff(863,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))),
% 1.07/0.95      inference(symmetry,[status(thm)],[862])).
% 1.07/0.95  tff(864,plain,
% 1.07/0.95      (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6))))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[494])).
% 1.07/0.95  tff(865,plain,
% 1.07/0.95      (multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6)))) = multiply(sk_c6, sk_c6)),
% 1.07/0.95      inference(symmetry,[status(thm)],[864])).
% 1.07/0.95  tff(866,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6)))))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(867,plain,
% 1.07/0.95      (multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6))))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[866, 7])).
% 1.07/0.95  tff(868,plain,
% 1.07/0.95      (multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(identity, multiply(sk_c5, sk_c8))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[419, 403])).
% 1.07/0.95  tff(869,plain,
% 1.07/0.95      (multiply(identity, multiply(sk_c5, sk_c8)) = multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, multiply(sk_c7, sk_c6)))),
% 1.07/0.95      inference(symmetry,[status(thm)],[868])).
% 1.07/0.95  tff(870,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c5), sk_c8) = multiply(identity, multiply(sk_c5, sk_c8)))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(871,plain,
% 1.07/0.95      (multiply(multiply(identity, sk_c5), sk_c8) = multiply(identity, multiply(sk_c5, sk_c8))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[870, 7])).
% 1.07/0.95  tff(872,plain,
% 1.07/0.95      (multiply(multiply(identity, sk_c5), sk_c8) = multiply(sk_c5, sk_c8)),
% 1.07/0.95      inference(monotonicity,[status(thm)],[474])).
% 1.07/0.95  tff(873,plain,
% 1.07/0.95      (multiply(sk_c5, sk_c8) = multiply(multiply(identity, sk_c5), sk_c8)),
% 1.07/0.95      inference(symmetry,[status(thm)],[872])).
% 1.07/0.95  tff(874,plain,
% 1.07/0.95      (multiply(sk_c5, multiply(sk_c7, sk_c6)) = multiply(sk_c6, sk_c6)),
% 1.07/0.95      inference(transitivity,[status(thm)],[403, 873, 871, 869, 867, 865])).
% 1.07/0.95  tff(875,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))) = multiply(multiply(sk_c6, sk_c6), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[874])).
% 1.07/0.95  tff(876,plain,
% 1.07/0.95      (multiply(multiply(sk_c6, sk_c6), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))))),
% 1.07/0.95      inference(symmetry,[status(thm)],[875])).
% 1.07/0.95  tff(877,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))) = multiply(sk_c6, multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))))))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(878,plain,
% 1.07/0.95      (multiply(multiply(sk_c6, sk_c6), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))) = multiply(sk_c6, multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[877, 7])).
% 1.07/0.95  tff(879,plain,
% 1.07/0.95      (multiply(sk_c6, multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))))) = multiply(multiply(sk_c6, sk_c6), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))))),
% 1.07/0.95      inference(symmetry,[status(thm)],[878])).
% 1.07/0.95  tff(880,plain,
% 1.07/0.95      (multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = multiply(sk_c6, multiply(sk_c5, sk_c6))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[749])).
% 1.07/0.95  tff(881,plain,
% 1.07/0.95      (multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = sk_c6),
% 1.07/0.95      inference(transitivity,[status(thm)],[880, 567, 461, 566, 388])).
% 1.07/0.95  tff(882,plain,
% 1.07/0.95      (multiply(multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = multiply(sk_c6, multiply(sk_c7, sk_c7))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[881, 794])).
% 1.07/0.95  tff(883,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(884,plain,
% 1.07/0.95      (multiply(multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))) = multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[883, 7])).
% 1.07/0.95  tff(885,plain,
% 1.07/0.95      (multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))) = multiply(multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))),
% 1.07/0.95      inference(symmetry,[status(thm)],[884])).
% 1.07/0.95  tff(886,plain,
% 1.07/0.95      (multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))) = multiply(sk_c5, sk_c7)),
% 1.07/0.95      inference(transitivity,[status(thm)],[885, 882, 831, 823, 820, 819, 816])).
% 1.07/0.95  tff(887,plain,
% 1.07/0.95      (multiply(sk_c6, multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5)))))) = multiply(sk_c6, multiply(sk_c5, sk_c7))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[886])).
% 1.07/0.95  tff(888,plain,
% 1.07/0.95      (multiply(sk_c6, multiply(sk_c5, sk_c7)) = multiply(sk_c6, multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c7, multiply(sk_c7, multiply(sk_c6, sk_c5))))))),
% 1.07/0.95      inference(symmetry,[status(thm)],[887])).
% 1.07/0.95  tff(889,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, sk_c8), sk_c5) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c5)),
% 1.07/0.95      inference(symmetry,[status(thm)],[807])).
% 1.07/0.95  tff(890,plain,
% 1.07/0.95      (multiply(sk_c5, multiply(sk_c8, sk_c5)) = multiply(multiply(sk_c5, sk_c8), sk_c5)),
% 1.07/0.95      inference(symmetry,[status(thm)],[806])).
% 1.07/0.95  tff(891,plain,
% 1.07/0.95      (multiply(sk_c5, sk_c7) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c5)),
% 1.07/0.95      inference(transitivity,[status(thm)],[803, 890, 889])).
% 1.07/0.95  tff(892,plain,
% 1.07/0.95      (multiply(sk_c6, multiply(sk_c5, sk_c7)) = multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c5))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[891])).
% 1.07/0.95  tff(893,plain,
% 1.07/0.95      (multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c5)) = multiply(sk_c6, multiply(sk_c5, sk_c7))),
% 1.07/0.95      inference(symmetry,[status(thm)],[892])).
% 1.07/0.95  tff(894,plain,
% 1.07/0.95      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c5) = multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c5)))),
% 1.07/0.95      inference(quant_inst,[status(thm)],[])).
% 1.07/0.95  tff(895,plain,
% 1.07/0.95      (multiply(multiply(sk_c6, multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c5) = multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c5))),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[894, 7])).
% 1.07/0.95  tff(896,plain,
% 1.07/0.95      (multiply(multiply(sk_c6, multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c5) = multiply(sk_c8, sk_c5)),
% 1.07/0.95      inference(monotonicity,[status(thm)],[405])).
% 1.07/0.95  tff(897,plain,
% 1.07/0.95      (multiply(sk_c8, sk_c5) = multiply(multiply(sk_c6, multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c5)),
% 1.07/0.95      inference(symmetry,[status(thm)],[896])).
% 1.07/0.95  tff(898,plain,
% 1.07/0.95      (sk_c7 = multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c7)),
% 1.07/0.95      inference(transitivity,[status(thm)],[360, 897, 895, 893, 888, 879, 876, 863, 860, 850, 847])).
% 1.07/0.95  tff(899,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c8) = multiply(multiply(sk_c5, sk_c8), sk_c8)),
% 1.07/0.95      inference(monotonicity,[status(thm)],[403])).
% 1.07/0.95  tff(900,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, sk_c8), sk_c8) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c8)),
% 1.07/0.95      inference(symmetry,[status(thm)],[899])).
% 1.07/0.95  tff(901,plain,
% 1.07/0.95      (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c5, sk_c8), sk_c8)),
% 1.07/0.95      inference(symmetry,[status(thm)],[734])).
% 1.07/0.95  tff(902,plain,
% 1.07/0.95      (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c8)),
% 1.07/0.95      inference(transitivity,[status(thm)],[901, 900])).
% 1.07/0.95  tff(903,plain,
% 1.07/0.95      (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c7) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c8), multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c7))),
% 1.07/0.95      inference(monotonicity,[status(thm)],[902, 898])).
% 1.07/0.95  tff(904,assumption,(~(multiply(sk_c8, sk_c3) = sk_c7)), introduced(assumption)).
% 1.07/0.95  tff(905,plain,
% 1.07/0.95      (((multiply(sk_c4, sk_c8) = sk_c5) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((multiply(sk_c4, sk_c8) = sk_c5) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 1.07/0.95      inference(rewrite,[status(thm)],[])).
% 1.07/0.95  tff(906,plain,
% 1.07/0.95      (((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c5)) <=> ((multiply(sk_c4, sk_c8) = sk_c5) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 1.07/0.95      inference(rewrite,[status(thm)],[])).
% 1.07/0.95  tff(907,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_19')).
% 1.07/0.95  tff(908,plain,
% 1.07/0.95      ((multiply(sk_c4, sk_c8) = sk_c5) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 1.07/0.95      inference(modus_ponens,[status(thm)],[907, 906])).
% 1.07/0.95  tff(909,plain,
% 1.07/0.95      ((multiply(sk_c4, sk_c8) = sk_c5) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 1.07/0.95      inference(modus_ponens,[status(thm)],[908, 905])).
% 1.07/0.95  tff(910,plain,
% 1.07/0.95      (multiply(sk_c4, sk_c8) = sk_c5),
% 1.07/0.95      inference(unit_resolution,[status(thm)],[909, 904])).
% 1.07/0.95  tff(911,plain,
% 1.07/0.95      (multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c5),
% 1.07/0.95      inference(transitivity,[status(thm)],[525, 910])).
% 1.07/0.95  tff(912,plain,
% 1.07/0.95      (multiply(multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), identity) = multiply(sk_c5, identity)),
% 1.07/0.95      inference(monotonicity,[status(thm)],[911])).
% 1.07/0.95  tff(913,plain,
% 1.07/0.95      (sk_c5 = multiply(sk_c4, sk_c8)),
% 1.07/0.95      inference(symmetry,[status(thm)],[910])).
% 1.07/0.95  tff(914,plain,
% 1.07/0.95      (multiply(sk_c6, sk_c7) = sk_c8),
% 1.07/0.96      inference(transitivity,[status(thm)],[544, 479, 543, 474, 913, 541, 530, 912, 512, 511, 510, 18])).
% 1.07/0.96  tff(915,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, sk_c7), multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c5, sk_c7), sk_c8)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[914])).
% 1.07/0.96  tff(916,plain,
% 1.07/0.96      (multiply(sk_c5, multiply(sk_c8, sk_c7)) = identity),
% 1.07/0.96      inference(transitivity,[status(thm)],[555, 554, 548, 915, 509, 507, 429, 467, 433, 436, 443, 100])).
% 1.07/0.96  tff(917,plain,
% 1.07/0.96      ((multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7))) <=> (multiply(sk_c4, sk_c8) = identity)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[916])).
% 1.07/0.96  tff(918,plain,
% 1.07/0.96      ((multiply(sk_c4, sk_c8) = identity) <=> (multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.07/0.96      inference(symmetry,[status(thm)],[917])).
% 1.07/0.96  tff(919,plain,
% 1.07/0.96      (sk_c5 = multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.96      inference(transitivity,[status(thm)],[913, 587])).
% 1.07/0.96  tff(920,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, identity), sk_c5) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))))),
% 1.07/0.96      inference(monotonicity,[status(thm)],[522, 919])).
% 1.07/0.96  tff(921,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))) = multiply(multiply(sk_c5, identity), sk_c5)),
% 1.07/0.96      inference(symmetry,[status(thm)],[920])).
% 1.07/0.96  tff(922,plain,
% 1.07/0.96      (((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 1.07/0.96      inference(rewrite,[status(thm)],[])).
% 1.07/0.96  tff(923,plain,
% 1.07/0.96      (((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7))),
% 1.07/0.96      inference(rewrite,[status(thm)],[])).
% 1.07/0.96  tff(924,axiom,((multiply(sk_c8, sk_c3) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_20')).
% 1.07/0.96  tff(925,plain,
% 1.07/0.96      ((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 1.07/0.96      inference(modus_ponens,[status(thm)],[924, 923])).
% 1.07/0.96  tff(926,plain,
% 1.07/0.96      ((inverse(sk_c4) = sk_c8) | (multiply(sk_c8, sk_c3) = sk_c7)),
% 1.07/0.96      inference(modus_ponens,[status(thm)],[925, 922])).
% 1.07/0.96  tff(927,plain,
% 1.07/0.96      (inverse(sk_c4) = sk_c8),
% 1.07/0.96      inference(unit_resolution,[status(thm)],[926, 904])).
% 1.07/0.96  tff(928,plain,
% 1.07/0.96      (sk_c8 = inverse(sk_c4)),
% 1.07/0.96      inference(symmetry,[status(thm)],[927])).
% 1.07/0.96  tff(929,plain,
% 1.07/0.96      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = inverse(sk_c4)),
% 1.07/0.96      inference(transitivity,[status(thm)],[523, 512, 511, 510, 18, 928])).
% 1.07/0.96  tff(930,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[929])).
% 1.07/0.96  tff(931,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))),
% 1.07/0.96      inference(transitivity,[status(thm)],[930, 80, 173, 444, 437, 434, 432])).
% 1.07/0.96  tff(932,plain,
% 1.07/0.96      (multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, identity))),
% 1.07/0.96      inference(monotonicity,[status(thm)],[931, 523])).
% 1.07/0.96  tff(933,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, identity)) = multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.96      inference(symmetry,[status(thm)],[932])).
% 1.07/0.96  tff(934,plain,
% 1.07/0.96      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = sk_c7),
% 1.07/0.96      inference(transitivity,[status(thm)],[618, 615, 933, 592, 921, 586, 583, 580, 578, 487, 57])).
% 1.07/0.96  tff(935,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c7, sk_c6)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[934, 576])).
% 1.07/0.96  tff(936,plain,
% 1.07/0.96      (multiply(sk_c7, sk_c6) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.07/0.96      inference(symmetry,[status(thm)],[935])).
% 1.07/0.96  tff(937,plain,
% 1.07/0.96      (multiply(sk_c4, sk_c8) = identity),
% 1.07/0.96      inference(transitivity,[status(thm)],[541, 530, 912, 512, 511, 510, 18, 456, 936, 565, 562, 561, 560, 559, 100])).
% 1.07/0.96  tff(938,plain,
% 1.07/0.96      (multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7))),
% 1.07/0.96      inference(modus_ponens,[status(thm)],[937, 918])).
% 1.07/0.96  tff(939,plain,
% 1.07/0.96      (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, sk_c8)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[914])).
% 1.07/0.96  tff(940,plain,
% 1.07/0.96      (multiply(sk_c8, sk_c7) = inverse(sk_c8)),
% 1.07/0.96      inference(transitivity,[status(thm)],[630, 629, 939, 388, 232])).
% 1.07/0.96  tff(941,plain,
% 1.07/0.96      ((multiply(sk_c8, sk_c7) = sk_c8) <=> (inverse(sk_c8) = sk_c8)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[940])).
% 1.07/0.96  tff(942,plain,
% 1.07/0.96      ((inverse(sk_c8) = sk_c8) <=> (multiply(sk_c8, sk_c7) = sk_c8)),
% 1.07/0.96      inference(symmetry,[status(thm)],[941])).
% 1.07/0.96  tff(943,plain,
% 1.07/0.96      ((inverse(sk_c8) = sk_c8) <=> (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)),
% 1.07/0.96      inference(transitivity,[status(thm)],[942, 626])).
% 1.07/0.96  tff(944,plain,
% 1.07/0.96      (multiply(sk_c5, identity) = multiply(multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), identity)),
% 1.07/0.96      inference(symmetry,[status(thm)],[912])).
% 1.07/0.96  tff(945,plain,
% 1.07/0.96      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = multiply(sk_c6, sk_c7)),
% 1.07/0.96      inference(transitivity,[status(thm)],[523, 944, 529, 637, 910, 573, 572, 478, 571])).
% 1.07/0.96  tff(946,plain,
% 1.07/0.96      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = sk_c5),
% 1.07/0.96      inference(transitivity,[status(thm)],[523, 944, 529, 637, 910])).
% 1.07/0.96  tff(947,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(sk_c5, multiply(sk_c6, sk_c7))),
% 1.07/0.96      inference(monotonicity,[status(thm)],[946, 945])).
% 1.07/0.96  tff(948,plain,
% 1.07/0.96      (sk_c7 = multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.07/0.96      inference(transitivity,[status(thm)],[142, 486, 577, 636, 582, 585, 920, 635, 932, 614, 617])).
% 1.07/0.96  tff(949,plain,
% 1.07/0.96      (multiply(sk_c7, sk_c8) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.96      inference(monotonicity,[status(thm)],[948, 563])).
% 1.07/0.96  tff(950,plain,
% 1.07/0.96      (inverse(sk_c8) = sk_c8),
% 1.07/0.96      inference(transitivity,[status(thm)],[231, 389, 949, 947, 490, 577, 636, 582, 585, 920, 635, 932, 614, 617, 523, 512, 511, 510, 18])).
% 1.07/0.96  tff(951,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8),
% 1.07/0.96      inference(modus_ponens,[status(thm)],[950, 943])).
% 1.07/0.96  tff(952,plain,
% 1.07/0.96      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(sk_c8, multiply(sk_c5, sk_c6))),
% 1.07/0.96      inference(transitivity,[status(thm)],[650, 649, 499, 647, 544, 479, 543, 474, 913, 541, 530, 912, 512, 511, 510, 18, 456, 455, 440])).
% 1.07/0.96  tff(953,plain,
% 1.07/0.96      ((multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7) <=> (multiply(sk_c8, multiply(sk_c5, sk_c6)) = sk_c7)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[952])).
% 1.07/0.96  tff(954,plain,
% 1.07/0.96      ((multiply(sk_c8, multiply(sk_c5, sk_c6)) = sk_c7) <=> (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7)),
% 1.07/0.96      inference(symmetry,[status(thm)],[953])).
% 1.07/0.96  tff(955,plain,
% 1.07/0.96      (multiply(sk_c8, multiply(sk_c5, sk_c6)) = sk_c7),
% 1.07/0.96      inference(transitivity,[status(thm)],[441, 438, 394, 196, 446, 422, 420, 522, 618, 615, 933, 592, 921, 586, 583, 580, 578, 487, 57])).
% 1.07/0.96  tff(956,plain,
% 1.07/0.96      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7),
% 1.07/0.96      inference(modus_ponens,[status(thm)],[955, 954])).
% 1.07/0.96  tff(957,plain,
% 1.07/0.96      (sk_c8 = sk_c7),
% 1.07/0.96      inference(transitivity,[status(thm)],[196, 446, 422, 420, 522, 618, 615, 933, 592, 921, 586, 583, 580, 578, 487, 57])).
% 1.07/0.96  tff(958,plain,
% 1.07/0.96      ((inverse(sk_c8) = sk_c8) <=> (inverse(sk_c8) = sk_c7)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[957])).
% 1.07/0.96  tff(959,plain,
% 1.07/0.96      ((inverse(sk_c8) = sk_c8) <=> (inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)),
% 1.07/0.96      inference(transitivity,[status(thm)],[958, 658])).
% 1.07/0.96  tff(960,plain,
% 1.07/0.96      (inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7),
% 1.07/0.96      inference(modus_ponens,[status(thm)],[950, 959])).
% 1.07/0.96  tff(961,plain,
% 1.07/0.96      (multiply(sk_c4, sk_c8) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5)))),
% 1.07/0.96      inference(transitivity,[status(thm)],[910, 573, 572, 478, 571, 669])).
% 1.07/0.96  tff(962,plain,
% 1.07/0.96      ((~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)) | (~(multiply(sk_c4, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c7))))),
% 1.07/0.96      inference(unit_resolution,[status(thm)],[679, 388, 394, 231, 927, 349, 673, 961])).
% 1.07/0.96  tff(963,plain,
% 1.07/0.96      ($false),
% 1.07/0.96      inference(unit_resolution,[status(thm)],[962, 960, 956, 951, 938])).
% 1.07/0.96  tff(964,plain,(multiply(sk_c8, sk_c3) = sk_c7), inference(lemma,lemma(discharge,[]))).
% 1.07/0.96  tff(965,plain,
% 1.07/0.96      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = sk_c8),
% 1.07/0.96      inference(transitivity,[status(thm)],[684, 512, 511, 773, 18])).
% 1.07/0.96  tff(966,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c3) = multiply(sk_c8, sk_c3)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[965])).
% 1.07/0.96  tff(967,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c3) = sk_c7),
% 1.07/0.96      inference(transitivity,[status(thm)],[966, 964])).
% 1.07/0.96  tff(968,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c3)) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c7)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[967])).
% 1.07/0.96  tff(969,plain,
% 1.07/0.96      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), sk_c3) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c3)))),
% 1.07/0.96      inference(quant_inst,[status(thm)],[])).
% 1.07/0.96  tff(970,plain,
% 1.07/0.96      (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), sk_c3) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c3))),
% 1.07/0.96      inference(unit_resolution,[status(thm)],[969, 7])).
% 1.07/0.96  tff(971,plain,
% 1.07/0.96      (multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7), sk_c8)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[648])).
% 1.07/0.96  tff(972,plain,
% 1.07/0.96      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7), sk_c8) = multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8)),
% 1.07/0.96      inference(symmetry,[status(thm)],[971])).
% 1.07/0.96  tff(973,plain,
% 1.07/0.96      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7), sk_c8) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c7, sk_c8)))),
% 1.07/0.96      inference(quant_inst,[status(thm)],[])).
% 1.07/0.96  tff(974,plain,
% 1.07/0.96      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7), sk_c8) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c7, sk_c8))),
% 1.07/0.96      inference(unit_resolution,[status(thm)],[973, 7])).
% 1.07/0.96  tff(975,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c7, sk_c8)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7), sk_c8)),
% 1.07/0.96      inference(symmetry,[status(thm)],[974])).
% 1.07/0.96  tff(976,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c6)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[388])).
% 1.07/0.96  tff(977,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c6) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c7, sk_c8))),
% 1.07/0.96      inference(symmetry,[status(thm)],[976])).
% 1.07/0.96  tff(978,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c6) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), sk_c6)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[858])).
% 1.07/0.96  tff(979,plain,
% 1.07/0.96      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), sk_c6) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c6)),
% 1.07/0.96      inference(symmetry,[status(thm)],[978])).
% 1.07/0.96  tff(980,plain,
% 1.07/0.96      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), sk_c6) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6)))),
% 1.07/0.96      inference(quant_inst,[status(thm)],[])).
% 1.07/0.96  tff(981,plain,
% 1.07/0.96      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), sk_c6) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6))),
% 1.07/0.96      inference(unit_resolution,[status(thm)],[980, 7])).
% 1.07/0.96  tff(982,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), sk_c6)),
% 1.07/0.96      inference(symmetry,[status(thm)],[981])).
% 1.07/0.96  tff(983,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6)) = multiply(multiply(sk_c6, sk_c6), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6))),
% 1.07/0.96      inference(monotonicity,[status(thm)],[874])).
% 1.07/0.96  tff(984,plain,
% 1.07/0.96      (multiply(multiply(sk_c6, sk_c6), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6))),
% 1.07/0.96      inference(symmetry,[status(thm)],[983])).
% 1.07/0.96  tff(985,plain,
% 1.07/0.96      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c6), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6)) = multiply(sk_c6, multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6))))),
% 1.07/0.96      inference(quant_inst,[status(thm)],[])).
% 1.07/0.96  tff(986,plain,
% 1.07/0.96      (multiply(multiply(sk_c6, sk_c6), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6)) = multiply(sk_c6, multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6)))),
% 1.07/0.96      inference(unit_resolution,[status(thm)],[985, 7])).
% 1.07/0.96  tff(987,plain,
% 1.07/0.96      (multiply(sk_c6, multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6))) = multiply(multiply(sk_c6, sk_c6), multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6))),
% 1.07/0.96      inference(symmetry,[status(thm)],[986])).
% 1.07/0.96  tff(988,plain,
% 1.07/0.96      (multiply(identity, multiply(sk_c5, sk_c8)) = multiply(multiply(identity, sk_c5), sk_c8)),
% 1.07/0.96      inference(symmetry,[status(thm)],[871])).
% 1.07/0.96  tff(989,plain,
% 1.07/0.96      (multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6)))) = multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, multiply(sk_c7, sk_c6)))),
% 1.07/0.96      inference(symmetry,[status(thm)],[867])).
% 1.07/0.96  tff(990,plain,
% 1.07/0.96      (multiply(multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), sk_c6) = multiply(sk_c6, sk_c6)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[881])).
% 1.07/0.96  tff(991,plain,
% 1.07/0.96      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), sk_c6) = multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6)))),
% 1.07/0.96      inference(quant_inst,[status(thm)],[])).
% 1.07/0.96  tff(992,plain,
% 1.07/0.96      (multiply(multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), sk_c6) = multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6))),
% 1.07/0.96      inference(unit_resolution,[status(thm)],[991, 7])).
% 1.07/0.96  tff(993,plain,
% 1.07/0.96      (multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), sk_c6)),
% 1.07/0.96      inference(symmetry,[status(thm)],[992])).
% 1.07/0.96  tff(994,plain,
% 1.07/0.96      (multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6)) = multiply(sk_c5, sk_c8)),
% 1.07/0.96      inference(transitivity,[status(thm)],[993, 990, 864, 989, 868, 988, 872])).
% 1.07/0.96  tff(995,plain,
% 1.07/0.96      (multiply(sk_c6, multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c5, sk_c8))),
% 1.07/0.96      inference(monotonicity,[status(thm)],[389, 994])).
% 1.07/0.96  tff(996,plain,
% 1.07/0.96      (multiply(multiply(sk_c7, sk_c8), multiply(sk_c5, sk_c8)) = multiply(sk_c6, multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6)))),
% 1.07/0.96      inference(symmetry,[status(thm)],[995])).
% 1.07/0.96  tff(997,plain,
% 1.07/0.96      (multiply(sk_c7, multiply(sk_c8, multiply(sk_c5, sk_c8))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c5, sk_c8))),
% 1.07/0.96      inference(symmetry,[status(thm)],[402])).
% 1.07/0.96  tff(998,plain,
% 1.07/0.96      (multiply(sk_c7, sk_c6) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c5, sk_c8)))),
% 1.07/0.96      inference(symmetry,[status(thm)],[400])).
% 1.07/0.96  tff(999,plain,
% 1.07/0.96      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8)),
% 1.07/0.96      inference(transitivity,[status(thm)],[684, 512, 511, 773, 18, 456, 998, 997, 996, 987, 984, 982, 979, 977, 975, 972])).
% 1.07/0.96  tff(1000,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8))),
% 1.07/0.96      inference(monotonicity,[status(thm)],[999])).
% 1.07/0.96  tff(1001,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8)) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.96      inference(symmetry,[status(thm)],[1000])).
% 1.07/0.96  tff(1002,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c8), multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8))),
% 1.07/0.96      inference(monotonicity,[status(thm)],[902])).
% 1.07/0.96  tff(1003,plain,
% 1.07/0.96      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c8), multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8)) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8))),
% 1.07/0.96      inference(symmetry,[status(thm)],[1002])).
% 1.07/0.96  tff(1004,plain,
% 1.07/0.96      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c8), multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c8, multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8))))),
% 1.07/0.96      inference(quant_inst,[status(thm)],[])).
% 1.07/0.96  tff(1005,plain,
% 1.07/0.96      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c8), multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c8, multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8)))),
% 1.07/0.96      inference(unit_resolution,[status(thm)],[1004, 7])).
% 1.07/0.96  tff(1006,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c8, multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8))) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c8), multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8))),
% 1.07/0.96      inference(symmetry,[status(thm)],[1005])).
% 1.07/0.96  tff(1007,plain,
% 1.07/0.96      (multiply(sk_c6, multiply(sk_c7, sk_c8)) = multiply(sk_c6, sk_c6)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[388])).
% 1.07/0.96  tff(1008,plain,
% 1.07/0.96      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c6, sk_c7), sk_c8) = multiply(sk_c6, multiply(sk_c7, sk_c8)))),
% 1.07/0.96      inference(quant_inst,[status(thm)],[])).
% 1.07/0.96  tff(1009,plain,
% 1.07/0.96      (multiply(multiply(sk_c6, sk_c7), sk_c8) = multiply(sk_c6, multiply(sk_c7, sk_c8))),
% 1.07/0.96      inference(unit_resolution,[status(thm)],[1008, 7])).
% 1.07/0.96  tff(1010,plain,
% 1.07/0.96      (multiply(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))), sk_c8) = multiply(multiply(sk_c6, sk_c7), sk_c8)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[834])).
% 1.07/0.96  tff(1011,plain,
% 1.07/0.96      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))), sk_c8) = multiply(sk_c8, multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c8)))),
% 1.07/0.96      inference(quant_inst,[status(thm)],[])).
% 1.07/0.96  tff(1012,plain,
% 1.07/0.96      (multiply(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))), sk_c8) = multiply(sk_c8, multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c8))),
% 1.07/0.96      inference(unit_resolution,[status(thm)],[1011, 7])).
% 1.07/0.96  tff(1013,plain,
% 1.07/0.96      (multiply(sk_c8, multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c8)) = multiply(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c7))), sk_c8)),
% 1.07/0.96      inference(symmetry,[status(thm)],[1012])).
% 1.07/0.96  tff(1014,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c8) = multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[555])).
% 1.07/0.96  tff(1015,plain,
% 1.07/0.96      (multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c8)),
% 1.07/0.96      inference(symmetry,[status(thm)],[1014])).
% 1.07/0.96  tff(1016,plain,
% 1.07/0.96      (multiply(sk_c8, multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8)) = multiply(sk_c8, multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c8))),
% 1.07/0.96      inference(monotonicity,[status(thm)],[1015])).
% 1.07/0.96  tff(1017,plain,
% 1.07/0.96      (multiply(sk_c8, multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8)) = multiply(sk_c5, multiply(sk_c7, sk_c6))),
% 1.07/0.96      inference(transitivity,[status(thm)],[1016, 1013, 1010, 1009, 1007, 864, 989, 868, 988, 872, 552])).
% 1.07/0.96  tff(1018,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c8, multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6)))),
% 1.07/0.96      inference(monotonicity,[status(thm)],[1017])).
% 1.07/0.96  tff(1019,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c8, multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8)))),
% 1.07/0.96      inference(symmetry,[status(thm)],[1018])).
% 1.07/0.96  tff(1020,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c5, sk_c8), multiply(sk_c5, multiply(sk_c7, sk_c6)))),
% 1.07/0.96      inference(monotonicity,[status(thm)],[403])).
% 1.07/0.96  tff(1021,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, sk_c8), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6)))),
% 1.07/0.96      inference(symmetry,[status(thm)],[1020])).
% 1.07/0.96  tff(1022,plain,
% 1.07/0.96      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c8), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6)))))),
% 1.07/0.96      inference(quant_inst,[status(thm)],[])).
% 1.07/0.96  tff(1023,plain,
% 1.07/0.96      (multiply(multiply(sk_c5, sk_c8), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6))))),
% 1.07/0.96      inference(unit_resolution,[status(thm)],[1022, 7])).
% 1.07/0.96  tff(1024,plain,
% 1.07/0.96      (multiply(sk_c5, multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6)))) = multiply(multiply(sk_c5, sk_c8), multiply(sk_c5, multiply(sk_c7, sk_c6)))),
% 1.07/0.96      inference(symmetry,[status(thm)],[1023])).
% 1.07/0.96  tff(1025,plain,
% 1.07/0.96      (multiply(sk_c5, multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6)))) = multiply(sk_c5, sk_c6)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[646])).
% 1.07/0.96  tff(1026,plain,
% 1.07/0.96      (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c5, multiply(sk_c7, sk_c6))))),
% 1.07/0.96      inference(symmetry,[status(thm)],[1025])).
% 1.07/0.96  tff(1027,plain,
% 1.07/0.96      (identity = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.96      inference(transitivity,[status(thm)],[173, 752, 437, 751, 432, 749, 1026, 1024, 1021, 1019, 1006, 1003, 1001])).
% 1.07/0.96  tff(1028,plain,
% 1.07/0.96      (multiply(identity, sk_c3) = multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), sk_c3)),
% 1.07/0.96      inference(monotonicity,[status(thm)],[1027])).
% 1.07/0.96  tff(1029,plain,
% 1.07/0.96      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c3) = sk_c3)),
% 1.07/0.96      inference(quant_inst,[status(thm)],[])).
% 1.07/0.96  tff(1030,plain,
% 1.07/0.96      (multiply(identity, sk_c3) = sk_c3),
% 1.07/0.96      inference(unit_resolution,[status(thm)],[1029, 16])).
% 1.07/0.96  tff(1031,plain,
% 1.07/0.96      (sk_c3 = multiply(identity, sk_c3)),
% 1.07/0.96      inference(symmetry,[status(thm)],[1030])).
% 1.07/0.96  tff(1032,assumption,(~(multiply(sk_c4, sk_c8) = sk_c5)), introduced(assumption)).
% 1.07/0.97  tff(1033,plain,
% 1.07/0.97      (((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c4, sk_c8) = sk_c5)) <=> ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c4, sk_c8) = sk_c5))),
% 1.07/0.97      inference(rewrite,[status(thm)],[])).
% 1.07/0.97  tff(1034,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c4, sk_c8) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_24')).
% 1.07/0.97  tff(1035,plain,
% 1.07/0.97      ((multiply(sk_c2, sk_c8) = sk_c3) | (multiply(sk_c4, sk_c8) = sk_c5)),
% 1.07/0.97      inference(modus_ponens,[status(thm)],[1034, 1033])).
% 1.07/0.97  tff(1036,plain,
% 1.07/0.97      (multiply(sk_c2, sk_c8) = sk_c3),
% 1.07/0.97      inference(unit_resolution,[status(thm)],[1035, 1032])).
% 1.07/0.97  tff(1037,plain,
% 1.07/0.97      (multiply(sk_c2, sk_c8) = sk_c8),
% 1.07/0.97      inference(transitivity,[status(thm)],[1036, 1031, 1028, 970, 968, 903, 845, 843, 814, 812, 809, 802, 800, 798, 796, 793, 785, 783, 495, 498, 501, 777, 775, 689, 770, 682])).
% 1.07/0.97  tff(1038,plain,
% 1.07/0.97      ((multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))) <=> (sk_c8 = inverse(sk_c8))),
% 1.07/0.97      inference(monotonicity,[status(thm)],[1037, 757])).
% 1.07/0.97  tff(1039,plain,
% 1.07/0.97      ((multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))) <=> (inverse(sk_c8) = sk_c8)),
% 1.07/0.97      inference(transitivity,[status(thm)],[1038, 747])).
% 1.07/0.97  tff(1040,plain,
% 1.07/0.97      ((inverse(sk_c8) = sk_c8) <=> (multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.07/0.97      inference(symmetry,[status(thm)],[1039])).
% 1.07/0.97  tff(1041,plain,
% 1.07/0.97      (multiply(sk_c6, multiply(sk_c8, multiply(sk_c5, sk_c6))) = multiply(inverse(sk_c8), sk_c8)),
% 1.07/0.97      inference(symmetry,[status(thm)],[752])).
% 1.07/0.97  tff(1042,plain,
% 1.07/0.97      (multiply(identity, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = multiply(multiply(sk_c6, sk_c8), multiply(sk_c5, sk_c6))),
% 1.07/0.97      inference(symmetry,[status(thm)],[751])).
% 1.07/0.97  tff(1043,plain,
% 1.07/0.97      (multiply(sk_c5, sk_c6) = identity),
% 1.07/0.97      inference(transitivity,[status(thm)],[750, 467, 1042, 436, 1041, 100])).
% 1.07/0.97  tff(1044,plain,
% 1.07/0.97      (multiply(multiply(sk_c5, sk_c6), sk_c7) = multiply(identity, sk_c7)),
% 1.07/0.97      inference(monotonicity,[status(thm)],[1043])).
% 1.07/0.97  tff(1045,plain,
% 1.07/0.97      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(sk_c8, multiply(multiply(sk_c5, sk_c8), sk_c7))),
% 1.07/0.97      inference(symmetry,[status(thm)],[777])).
% 1.07/0.97  tff(1046,plain,
% 1.07/0.97      (multiply(multiply(sk_c1, sk_c7), multiply(sk_c5, multiply(sk_c8, sk_c7))) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c7)))),
% 1.07/0.97      inference(symmetry,[status(thm)],[775])).
% 1.07/0.97  tff(1047,plain,
% 1.07/0.97      (multiply(sk_c1, sk_c7) = multiply(sk_c1, multiply(sk_c7, multiply(sk_c5, multiply(sk_c8, sk_c7))))),
% 1.07/0.97      inference(symmetry,[status(thm)],[770])).
% 1.07/0.97  tff(1048,plain,
% 1.07/0.97      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = multiply(sk_c6, sk_c7)),
% 1.07/0.97      inference(transitivity,[status(thm)],[684, 512, 511, 773, 18, 683, 1047, 690, 1046, 1045, 502, 499, 496])).
% 1.07/0.97  tff(1049,plain,
% 1.07/0.97      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = sk_c5),
% 1.07/0.97      inference(transitivity,[status(thm)],[684, 512, 511, 773, 18, 683, 1047, 690, 1046, 1045, 502, 499, 496, 481, 479, 476, 474])).
% 1.07/0.97  tff(1050,plain,
% 1.07/0.97      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(sk_c5, multiply(sk_c6, sk_c7))),
% 1.07/0.97      inference(monotonicity,[status(thm)],[1049, 1048])).
% 1.07/0.97  tff(1051,plain,
% 1.07/0.97      (multiply(sk_c2, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(sk_c2, sk_c8)),
% 1.07/0.97      inference(monotonicity,[status(thm)],[965])).
% 1.07/0.97  tff(1052,plain,
% 1.07/0.97      (multiply(sk_c2, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.07/0.97      inference(transitivity,[status(thm)],[1051, 1036, 1031, 1028, 970, 968, 903, 845, 843, 814, 812, 809, 802, 800, 798, 796, 793, 785, 783, 495, 498, 501, 777, 775, 689, 770, 682, 196, 772, 422, 420, 418])).
% 1.07/0.97  tff(1053,plain,
% 1.07/0.97      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c2, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.97      inference(monotonicity,[status(thm)],[1052])).
% 1.07/0.97  tff(1054,plain,
% 1.07/0.97      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c2), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c2, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))))),
% 1.07/0.97      inference(quant_inst,[status(thm)],[])).
% 1.07/0.97  tff(1055,plain,
% 1.07/0.97      (multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c2), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c2, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))))),
% 1.07/0.97      inference(unit_resolution,[status(thm)],[1054, 7])).
% 1.07/0.97  tff(1056,plain,
% 1.07/0.97      (((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c5)) <=> ((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c5))),
% 1.07/0.97      inference(rewrite,[status(thm)],[])).
% 1.07/0.97  tff(1057,axiom,((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_29')).
% 1.07/0.97  tff(1058,plain,
% 1.07/0.97      ((inverse(sk_c2) = sk_c8) | (multiply(sk_c4, sk_c8) = sk_c5)),
% 1.07/0.97      inference(modus_ponens,[status(thm)],[1057, 1056])).
% 1.07/0.97  tff(1059,plain,
% 1.07/0.97      (inverse(sk_c2) = sk_c8),
% 1.07/0.97      inference(unit_resolution,[status(thm)],[1058, 1032])).
% 1.07/0.97  tff(1060,plain,
% 1.07/0.97      (sk_c8 = inverse(sk_c2)),
% 1.07/0.97      inference(symmetry,[status(thm)],[1059])).
% 1.07/0.97  tff(1061,plain,
% 1.07/0.97      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = inverse(sk_c2)),
% 1.07/0.97      inference(transitivity,[status(thm)],[684, 512, 511, 773, 18, 1060])).
% 1.07/0.97  tff(1062,plain,
% 1.07/0.97      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 1.07/0.97      inference(monotonicity,[status(thm)],[1061])).
% 1.07/0.97  tff(1063,plain,
% 1.07/0.97      (multiply(inverse(sk_c2), sk_c2) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c2)),
% 1.07/0.97      inference(symmetry,[status(thm)],[1062])).
% 1.07/0.97  tff(1064,plain,
% 1.07/0.97      (multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c2)),
% 1.07/0.97      inference(transitivity,[status(thm)],[467, 1042, 436, 1041, 100, 36, 1063])).
% 1.07/0.97  tff(1065,plain,
% 1.07/0.97      (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, identity)) = multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c2), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.97      inference(monotonicity,[status(thm)],[1064, 418])).
% 1.07/0.97  tff(1066,plain,
% 1.07/0.97      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = identity),
% 1.07/0.97      inference(transitivity,[status(thm)],[562, 410, 560, 415, 100])).
% 1.07/0.97  tff(1067,plain,
% 1.07/0.97      (multiply(sk_c5, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(sk_c5, identity)),
% 1.07/0.97      inference(monotonicity,[status(thm)],[1066])).
% 1.07/0.97  tff(1068,plain,
% 1.07/0.97      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(sk_c5, identity)),
% 1.07/0.97      inference(transitivity,[status(thm)],[605, 608, 1067])).
% 1.07/0.97  tff(1069,plain,
% 1.07/0.97      (multiply(multiply(sk_c5, sk_c6), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, identity))),
% 1.07/0.97      inference(monotonicity,[status(thm)],[750, 1068])).
% 1.07/0.97  tff(1070,plain,
% 1.07/0.97      (sk_c8 = sk_c7),
% 1.07/0.97      inference(transitivity,[status(thm)],[196, 772, 422, 420, 418, 618, 1069, 1065, 1055, 1053, 1050, 490, 1044, 57])).
% 1.07/0.97  tff(1071,plain,
% 1.07/0.97      ((inverse(sk_c8) = sk_c8) <=> (inverse(sk_c8) = sk_c7)),
% 1.07/0.97      inference(monotonicity,[status(thm)],[1070])).
% 1.07/0.97  tff(1072,plain,
% 1.07/0.97      ((inverse(sk_c8) = sk_c7) <=> (inverse(sk_c8) = sk_c8)),
% 1.07/0.97      inference(symmetry,[status(thm)],[1071])).
% 1.07/0.97  tff(1073,plain,
% 1.07/0.97      ((inverse(sk_c8) = sk_c7) <=> (multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.07/0.97      inference(transitivity,[status(thm)],[1072, 1040])).
% 1.07/0.97  tff(1074,plain,
% 1.07/0.97      ((~![X: $i] : (multiply(inverse(X), X) = identity)) | (multiply(inverse(multiply(identity, sk_c1)), multiply(identity, sk_c1)) = identity)),
% 1.07/0.97      inference(quant_inst,[status(thm)],[])).
% 1.07/0.97  tff(1075,plain,
% 1.07/0.97      (multiply(inverse(multiply(identity, sk_c1)), multiply(identity, sk_c1)) = identity),
% 1.07/0.97      inference(unit_resolution,[status(thm)],[1074, 33])).
% 1.07/0.97  tff(1076,plain,
% 1.07/0.97      (inverse(multiply(identity, sk_c1)) = inverse(sk_c1)),
% 1.07/0.97      inference(monotonicity,[status(thm)],[144])).
% 1.07/0.97  tff(1077,plain,
% 1.07/0.97      (inverse(sk_c1) = inverse(multiply(identity, sk_c1))),
% 1.07/0.97      inference(symmetry,[status(thm)],[1076])).
% 1.07/0.97  tff(1078,plain,
% 1.07/0.97      (((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c5)) <=> ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c5))),
% 1.07/0.97      inference(rewrite,[status(thm)],[])).
% 1.07/0.97  tff(1079,axiom,((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_14')).
% 1.07/0.97  tff(1080,plain,
% 1.07/0.97      ((inverse(sk_c1) = sk_c7) | (multiply(sk_c4, sk_c8) = sk_c5)),
% 1.07/0.97      inference(modus_ponens,[status(thm)],[1079, 1078])).
% 1.07/0.97  tff(1081,plain,
% 1.07/0.97      (inverse(sk_c1) = sk_c7),
% 1.07/0.97      inference(unit_resolution,[status(thm)],[1080, 1032])).
% 1.07/0.97  tff(1082,plain,
% 1.07/0.97      (sk_c7 = inverse(sk_c1)),
% 1.07/0.97      inference(symmetry,[status(thm)],[1081])).
% 1.07/0.97  tff(1083,plain,
% 1.07/0.97      (sk_c7 = inverse(multiply(identity, sk_c1))),
% 1.07/0.97      inference(transitivity,[status(thm)],[1082, 1077])).
% 1.07/0.97  tff(1084,plain,
% 1.07/0.97      (multiply(sk_c7, multiply(identity, sk_c1)) = multiply(inverse(multiply(identity, sk_c1)), multiply(identity, sk_c1))),
% 1.07/0.97      inference(monotonicity,[status(thm)],[1083])).
% 1.07/0.97  tff(1085,plain,
% 1.07/0.97      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, identity), sk_c1) = multiply(sk_c7, multiply(identity, sk_c1)))),
% 1.07/0.97      inference(quant_inst,[status(thm)],[])).
% 1.07/0.97  tff(1086,plain,
% 1.07/0.97      (multiply(multiply(sk_c7, identity), sk_c1) = multiply(sk_c7, multiply(identity, sk_c1))),
% 1.07/0.97      inference(unit_resolution,[status(thm)],[1085, 7])).
% 1.07/0.97  tff(1087,plain,
% 1.07/0.97      (multiply(sk_c7, identity) = multiply(sk_c7, multiply(sk_c6, sk_c8))),
% 1.07/0.97      inference(monotonicity,[status(thm)],[243])).
% 1.07/0.97  tff(1088,plain,
% 1.07/0.97      (multiply(sk_c7, multiply(sk_c6, sk_c8)) = multiply(sk_c7, identity)),
% 1.07/0.97      inference(symmetry,[status(thm)],[1087])).
% 1.07/0.97  tff(1089,plain,
% 1.07/0.97      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c6), sk_c8) = multiply(sk_c7, multiply(sk_c6, sk_c8)))),
% 1.07/0.97      inference(quant_inst,[status(thm)],[])).
% 1.07/0.97  tff(1090,plain,
% 1.07/0.97      (multiply(multiply(sk_c7, sk_c6), sk_c8) = multiply(sk_c7, multiply(sk_c6, sk_c8))),
% 1.07/0.97      inference(unit_resolution,[status(thm)],[1089, 7])).
% 1.07/0.97  tff(1091,plain,
% 1.07/0.97      (multiply(multiply(sk_c7, sk_c6), sk_c8) = multiply(sk_c8, sk_c8)),
% 1.07/0.97      inference(monotonicity,[status(thm)],[394])).
% 1.07/0.97  tff(1092,plain,
% 1.07/0.97      (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c7, sk_c6), sk_c8)),
% 1.07/0.97      inference(symmetry,[status(thm)],[1091])).
% 1.07/0.97  tff(1093,plain,
% 1.07/0.97      (multiply(sk_c8, sk_c8) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.97      inference(monotonicity,[status(thm)],[776, 776])).
% 1.07/0.97  tff(1094,plain,
% 1.07/0.97      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(sk_c8, sk_c8)),
% 1.07/0.97      inference(symmetry,[status(thm)],[1093])).
% 1.07/0.97  tff(1095,plain,
% 1.07/0.97      (multiply(sk_c5, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.97      inference(symmetry,[status(thm)],[1050])).
% 1.07/0.97  tff(1096,plain,
% 1.07/0.97      (multiply(identity, sk_c7) = multiply(multiply(sk_c5, sk_c6), sk_c7)),
% 1.07/0.97      inference(symmetry,[status(thm)],[1044])).
% 1.07/0.97  tff(1097,plain,
% 1.07/0.97      (sk_c7 = multiply(sk_c7, identity)),
% 1.07/0.97      inference(transitivity,[status(thm)],[142, 1096, 489, 1095, 1094, 1092, 1090, 1088])).
% 1.07/0.97  tff(1098,plain,
% 1.07/0.97      (multiply(sk_c7, sk_c1) = multiply(multiply(sk_c7, identity), sk_c1)),
% 1.07/0.97      inference(monotonicity,[status(thm)],[1097])).
% 1.07/0.97  tff(1099,plain,
% 1.07/0.97      (multiply(sk_c7, sk_c1) = multiply(sk_c5, sk_c6)),
% 1.07/0.97      inference(transitivity,[status(thm)],[1098, 1086, 1084, 1075, 173, 752, 437, 751, 432, 749])).
% 1.07/0.97  tff(1100,plain,
% 1.07/0.97      (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(sk_c5, sk_c6), sk_c7)),
% 1.07/0.97      inference(monotonicity,[status(thm)],[1099])).
% 1.07/0.97  tff(1101,plain,
% 1.07/0.97      (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c1, sk_c7))),
% 1.07/0.97      inference(monotonicity,[status(thm)],[683])).
% 1.07/0.97  tff(1102,plain,
% 1.07/0.97      (inverse(sk_c8) = sk_c7),
% 1.07/0.97      inference(transitivity,[status(thm)],[231, 389, 1101, 70, 1100, 1044, 57])).
% 1.07/0.97  tff(1103,plain,
% 1.07/0.97      (multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 1.07/0.97      inference(modus_ponens,[status(thm)],[1102, 1073])).
% 1.07/0.97  tff(1104,plain,
% 1.07/0.97      (inverse(multiply(identity, sk_c1)) = sk_c7),
% 1.07/0.97      inference(transitivity,[status(thm)],[1076, 1081])).
% 1.07/0.97  tff(1105,plain,
% 1.07/0.97      (multiply(identity, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = identity),
% 1.07/0.97      inference(transitivity,[status(thm)],[1042, 436, 1041, 100])).
% 1.07/0.97  tff(1106,plain,
% 1.07/0.97      (multiply(sk_c5, multiply(identity, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))) = multiply(sk_c5, identity)),
% 1.07/0.97      inference(monotonicity,[status(thm)],[1105])).
% 1.07/0.97  tff(1107,plain,
% 1.07/0.97      (multiply(sk_c7, sk_c1) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))),
% 1.07/0.97      inference(transitivity,[status(thm)],[1098, 1086, 1084, 1075, 173, 752, 437, 751, 432])).
% 1.07/0.97  tff(1108,plain,
% 1.07/0.97      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c7, sk_c1)) = multiply(multiply(sk_c5, identity), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))),
% 1.07/0.97      inference(monotonicity,[status(thm)],[684, 1107])).
% 1.07/0.97  tff(1109,plain,
% 1.07/0.97      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7), sk_c1) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c7, sk_c1)))),
% 1.07/0.97      inference(quant_inst,[status(thm)],[])).
% 1.07/0.97  tff(1110,plain,
% 1.07/0.97      (multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7), sk_c1) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c7, sk_c1))),
% 1.07/0.97      inference(unit_resolution,[status(thm)],[1109, 7])).
% 1.07/0.97  tff(1111,plain,
% 1.07/0.97      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = multiply(sk_c8, sk_c7)),
% 1.07/0.97      inference(monotonicity,[status(thm)],[965])).
% 1.07/0.97  tff(1112,plain,
% 1.07/0.97      (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7)),
% 1.07/0.97      inference(symmetry,[status(thm)],[1111])).
% 1.07/0.97  tff(1113,plain,
% 1.07/0.97      (multiply(multiply(sk_c7, sk_c6), sk_c7) = multiply(sk_c8, sk_c7)),
% 1.07/0.97      inference(symmetry,[status(thm)],[630])).
% 1.07/0.97  tff(1114,plain,
% 1.07/0.97      (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c7, sk_c6), sk_c7)),
% 1.07/0.97      inference(symmetry,[status(thm)],[629])).
% 1.07/0.97  tff(1115,plain,
% 1.07/0.97      (multiply(sk_c6, sk_c7) = sk_c8),
% 1.07/0.97      inference(transitivity,[status(thm)],[495, 498, 501, 777, 775, 689, 770, 682])).
% 1.07/0.97  tff(1116,plain,
% 1.07/0.97      (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, sk_c8)),
% 1.07/0.97      inference(monotonicity,[status(thm)],[1115])).
% 1.07/0.97  tff(1117,plain,
% 1.07/0.97      (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 1.07/0.97      inference(symmetry,[status(thm)],[1116])).
% 1.07/0.97  tff(1118,plain,
% 1.07/0.97      (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7)),
% 1.07/0.97      inference(transitivity,[status(thm)],[756, 472, 754, 567, 461, 566, 1117, 1114, 1113, 1112])).
% 1.07/0.97  tff(1119,plain,
% 1.07/0.97      (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c1) = multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7), sk_c1)),
% 1.07/0.97      inference(monotonicity,[status(thm)],[1118])).
% 1.07/0.97  tff(1120,plain,
% 1.07/0.97      (multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c6))) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 1.07/0.97      inference(symmetry,[status(thm)],[756])).
% 1.07/0.97  tff(1121,plain,
% 1.07/0.97      (multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c6)))) = multiply(multiply(sk_c6, sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c6)))),
% 1.07/0.97      inference(symmetry,[status(thm)],[472])).
% 1.07/0.97  tff(1122,plain,
% 1.07/0.97      (multiply(sk_c6, multiply(sk_c5, sk_c6)) = multiply(sk_c6, multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c6))))),
% 1.07/0.97      inference(symmetry,[status(thm)],[754])).
% 1.07/0.97  tff(1123,plain,
% 1.07/0.97      (multiply(multiply(sk_c7, sk_c8), multiply(sk_c5, sk_c6)) = multiply(sk_c6, multiply(sk_c5, sk_c6))),
% 1.07/0.97      inference(symmetry,[status(thm)],[567])).
% 1.07/0.97  tff(1124,plain,
% 1.07/0.97      (multiply(sk_c7, multiply(sk_c8, multiply(sk_c5, sk_c6))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c5, sk_c6))),
% 1.07/0.97      inference(symmetry,[status(thm)],[461])).
% 1.07/0.97  tff(1125,plain,
% 1.07/0.97      (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c8, multiply(sk_c5, sk_c6)))),
% 1.07/0.97      inference(symmetry,[status(thm)],[566])).
% 1.07/0.97  tff(1126,plain,
% 1.07/0.97      (multiply(sk_c7, multiply(sk_c1, sk_c7)) = multiply(sk_c7, sk_c8)),
% 1.07/0.97      inference(symmetry,[status(thm)],[1101])).
% 1.07/0.97  tff(1127,plain,
% 1.07/0.97      (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 1.07/0.97      inference(transitivity,[status(thm)],[69, 1126, 1125, 1124, 1123, 1122, 1121, 1120])).
% 1.07/0.97  tff(1128,plain,
% 1.07/0.97      (multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), sk_c1) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c1)),
% 1.07/0.97      inference(monotonicity,[status(thm)],[1127])).
% 1.07/0.97  tff(1129,plain,
% 1.07/0.97      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), sk_c1) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1)))),
% 1.07/0.97      inference(quant_inst,[status(thm)],[])).
% 1.07/0.97  tff(1130,plain,
% 1.07/0.97      (multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), sk_c1) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1))),
% 1.07/0.97      inference(unit_resolution,[status(thm)],[1129, 7])).
% 1.07/0.97  tff(1131,plain,
% 1.07/0.97      (multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1)) = multiply(multiply(multiply(sk_c7, sk_c1), sk_c7), sk_c1)),
% 1.07/0.97      inference(symmetry,[status(thm)],[1130])).
% 1.07/0.97  tff(1132,plain,
% 1.07/0.97      (multiply(multiply(sk_c7, identity), sk_c1) = multiply(sk_c7, sk_c1)),
% 1.07/0.97      inference(symmetry,[status(thm)],[1098])).
% 1.07/0.97  tff(1133,plain,
% 1.07/0.97      (multiply(sk_c7, multiply(identity, sk_c1)) = multiply(multiply(sk_c7, identity), sk_c1)),
% 1.07/0.97      inference(symmetry,[status(thm)],[1086])).
% 1.07/0.97  tff(1134,plain,
% 1.07/0.97      (multiply(inverse(multiply(identity, sk_c1)), multiply(identity, sk_c1)) = multiply(sk_c7, multiply(identity, sk_c1))),
% 1.07/0.97      inference(symmetry,[status(thm)],[1084])).
% 1.07/0.97  tff(1135,plain,
% 1.07/0.97      (identity = multiply(inverse(multiply(identity, sk_c1)), multiply(identity, sk_c1))),
% 1.07/0.97      inference(symmetry,[status(thm)],[1075])).
% 1.07/0.97  tff(1136,plain,
% 1.07/0.97      (multiply(sk_c5, sk_c6) = multiply(sk_c7, sk_c1)),
% 1.07/0.97      inference(transitivity,[status(thm)],[750, 467, 1042, 436, 1041, 100, 1135, 1134, 1133, 1132])).
% 1.07/0.97  tff(1137,plain,
% 1.07/0.97      (multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1))),
% 1.07/0.97      inference(monotonicity,[status(thm)],[1136, 1136])).
% 1.07/0.97  tff(1138,plain,
% 1.07/0.97      (multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, sk_c6))),
% 1.07/0.97      inference(monotonicity,[status(thm)],[749])).
% 1.07/0.97  tff(1139,plain,
% 1.07/0.97      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))))),
% 1.07/0.97      inference(quant_inst,[status(thm)],[])).
% 1.07/0.97  tff(1140,plain,
% 1.07/0.97      (multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))))),
% 1.07/0.97      inference(unit_resolution,[status(thm)],[1139, 7])).
% 1.07/0.97  tff(1141,plain,
% 1.07/0.97      (multiply(sk_c5, multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))) = multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))),
% 1.07/0.97      inference(symmetry,[status(thm)],[1140])).
% 1.07/0.97  tff(1142,plain,
% 1.07/0.97      (multiply(sk_c6, multiply(sk_c5, sk_c6)) = multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))),
% 1.07/0.97      inference(symmetry,[status(thm)],[880])).
% 1.07/0.97  tff(1143,plain,
% 1.07/0.97      (sk_c6 = multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))),
% 1.07/0.97      inference(transitivity,[status(thm)],[389, 1125, 1124, 1123, 1142])).
% 1.07/0.97  tff(1144,plain,
% 1.07/0.97      (multiply(sk_c5, sk_c6) = multiply(sk_c5, multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))))),
% 1.07/0.97      inference(monotonicity,[status(thm)],[1143])).
% 1.07/0.97  tff(1145,plain,
% 1.07/0.97      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7),
% 1.07/0.97      inference(transitivity,[status(thm)],[562, 410, 560, 415, 752, 437, 751, 432, 749, 1144, 1141, 1138, 1137, 1131, 1128, 1119, 1110, 1108, 535, 1106, 418, 618, 1069, 1065, 1055, 1053, 1050, 490, 1044, 57])).
% 1.07/0.97  tff(1146,plain,
% 1.07/0.97      (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, identity)) = multiply(multiply(sk_c5, sk_c6), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 1.07/0.97      inference(symmetry,[status(thm)],[1069])).
% 1.07/0.98  tff(1147,plain,
% 1.07/0.98      (multiply(sk_c1, sk_c7) = multiply(sk_c5, identity)),
% 1.07/0.98      inference(transitivity,[status(thm)],[682, 196, 772, 422, 420])).
% 1.07/0.98  tff(1148,plain,
% 1.07/0.98      (identity = multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))),
% 1.07/0.98      inference(transitivity,[status(thm)],[173, 752, 437, 751, 432])).
% 1.07/0.98  tff(1149,plain,
% 1.07/0.98      (multiply(identity, multiply(sk_c1, sk_c7)) = multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, identity))),
% 1.07/0.98      inference(monotonicity,[status(thm)],[1148, 1147])).
% 1.07/0.98  tff(1150,plain,
% 1.07/0.98      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(identity, sk_c1), sk_c7) = multiply(identity, multiply(sk_c1, sk_c7)))),
% 1.07/0.98      inference(quant_inst,[status(thm)],[])).
% 1.07/0.98  tff(1151,plain,
% 1.07/0.98      (multiply(multiply(identity, sk_c1), sk_c7) = multiply(identity, multiply(sk_c1, sk_c7))),
% 1.07/0.98      inference(unit_resolution,[status(thm)],[1150, 7])).
% 1.07/0.98  tff(1152,plain,
% 1.07/0.98      (multiply(multiply(identity, sk_c1), sk_c7) = sk_c8),
% 1.07/0.98      inference(transitivity,[status(thm)],[1151, 1149, 1146, 617, 684, 512, 511, 773, 18])).
% 1.07/0.98  tff(1153,plain,
% 1.07/0.98      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(identity, sk_c1)) = sk_c7)) | (~(multiply(multiply(identity, sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(identity, sk_c1)) = sk_c7)) | (~(multiply(multiply(identity, sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.07/0.98      inference(rewrite,[status(thm)],[])).
% 1.07/0.98  tff(1154,plain,
% 1.07/0.98      (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(identity, sk_c1)) = sk_c7)) | (~(multiply(multiply(identity, sk_c1), sk_c7) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(identity, sk_c1)) = sk_c7)) | (~(multiply(multiply(identity, sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.07/0.98      inference(rewrite,[status(thm)],[])).
% 1.07/0.98  tff(1155,plain,
% 1.07/0.98      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(identity, sk_c1)) = sk_c7)) | (~(multiply(multiply(identity, sk_c1), sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(identity, sk_c1)) = sk_c7)) | (~(multiply(multiply(identity, sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.98      inference(monotonicity,[status(thm)],[1154])).
% 1.07/0.98  tff(1156,plain,
% 1.07/0.98      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(identity, sk_c1)) = sk_c7)) | (~(multiply(multiply(identity, sk_c1), sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(identity, sk_c1)) = sk_c7)) | (~(multiply(multiply(identity, sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.07/0.98      inference(transitivity,[status(thm)],[1155, 1153])).
% 1.07/0.98  tff(1157,plain,
% 1.07/0.98      ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(identity, sk_c1)) = sk_c7)) | (~(multiply(multiply(identity, sk_c1), sk_c7) = sk_c8)))),
% 1.07/0.98      inference(quant_inst,[status(thm)],[])).
% 1.07/0.98  tff(1158,plain,
% 1.07/0.98      ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(sk_c2) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(identity, sk_c1)) = sk_c7)) | (~(multiply(multiply(identity, sk_c1), sk_c7) = sk_c8)) | (~(multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 1.07/0.98      inference(modus_ponens,[status(thm)],[1157, 1156])).
% 1.07/0.98  tff(1159,plain,
% 1.07/0.98      ((~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(identity, sk_c1)) = sk_c7)) | (~(multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 1.07/0.98      inference(unit_resolution,[status(thm)],[1158, 388, 394, 231, 1059, 349, 1152])).
% 1.07/0.98  tff(1160,plain,
% 1.07/0.98      ($false),
% 1.07/0.98      inference(unit_resolution,[status(thm)],[1159, 1145, 1104, 1103])).
% 1.07/0.98  tff(1161,plain,(multiply(sk_c4, sk_c8) = sk_c5), inference(lemma,lemma(discharge,[]))).
% 1.07/0.98  tff(1162,plain,
% 1.07/0.98      (multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(sk_c4, sk_c8)),
% 1.07/0.98      inference(monotonicity,[status(thm)],[739])).
% 1.07/0.98  tff(1163,plain,
% 1.07/0.98      (multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.07/0.98      inference(transitivity,[status(thm)],[1162, 1161, 573, 475, 478, 480, 495, 498, 501, 505, 686, 689, 724, 682, 196, 446, 422, 420, 418])).
% 1.07/0.98  tff(1164,plain,
% 1.07/0.98      (multiply(multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.07/0.98      inference(monotonicity,[status(thm)],[1163])).
% 1.07/0.98  tff(1165,plain,
% 1.07/0.98      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c8))) = multiply(multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.07/0.98      inference(symmetry,[status(thm)],[1164])).
% 1.07/0.98  tff(1166,plain,
% 1.07/0.98      (multiply(sk_c5, sk_c6) = multiply(sk_c4, identity)),
% 1.07/0.98      inference(transitivity,[status(thm)],[429, 467, 433, 436, 443, 416, 413, 411, 409, 741, 1165, 746, 744])).
% 1.07/0.98  tff(1167,plain,
% 1.07/0.98      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 1.07/0.98      inference(transitivity,[status(thm)],[899, 734])).
% 1.07/0.98  tff(1168,plain,
% 1.07/0.98      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c8), multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c4, identity))),
% 1.07/0.98      inference(monotonicity,[status(thm)],[1167, 1166])).
% 1.07/0.98  tff(1169,plain,
% 1.07/0.98      (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c4, identity)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c8), multiply(sk_c5, sk_c6))),
% 1.07/0.98      inference(symmetry,[status(thm)],[1168])).
% 1.07/0.98  tff(1170,plain,
% 1.07/0.98      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c4), identity) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c4, identity)))),
% 1.07/0.98      inference(quant_inst,[status(thm)],[])).
% 1.07/0.98  tff(1171,plain,
% 1.07/0.98      (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c4), identity) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c4, identity))),
% 1.07/0.98      inference(unit_resolution,[status(thm)],[1170, 7])).
% 1.07/0.98  tff(1172,assumption,(inverse(sk_c4) = sk_c8), introduced(assumption)).
% 1.07/0.98  tff(1173,plain,
% 1.07/0.98      (sk_c8 = inverse(sk_c4)),
% 1.07/0.98      inference(symmetry,[status(thm)],[1172])).
% 1.07/0.98  tff(1174,plain,
% 1.07/0.98      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = inverse(sk_c4)),
% 1.07/0.98      inference(transitivity,[status(thm)],[684, 512, 511, 510, 18, 1173])).
% 1.07/0.98  tff(1175,plain,
% 1.07/0.98      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4) = multiply(inverse(sk_c4), sk_c4)),
% 1.07/0.98      inference(monotonicity,[status(thm)],[1174])).
% 1.07/0.98  tff(1176,plain,
% 1.07/0.98      (multiply(inverse(sk_c4), sk_c4) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4)),
% 1.07/0.98      inference(symmetry,[status(thm)],[1175])).
% 1.07/0.98  tff(1177,plain,
% 1.07/0.98      (identity = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4)),
% 1.07/0.98      inference(transitivity,[status(thm)],[98, 1176])).
% 1.07/0.98  tff(1178,plain,
% 1.07/0.98      (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c4), identity) = multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c4), multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4))),
% 1.07/0.98      inference(monotonicity,[status(thm)],[1177])).
% 1.07/0.98  tff(1179,plain,
% 1.07/0.98      (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c4), multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4)) = multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c4), identity)),
% 1.07/0.98      inference(symmetry,[status(thm)],[1178])).
% 1.07/0.98  tff(1180,plain,
% 1.07/0.98      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c4), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), sk_c4) = multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c4), multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4)))),
% 1.07/0.98      inference(quant_inst,[status(thm)],[])).
% 1.07/0.98  tff(1181,plain,
% 1.07/0.98      (multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c4), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), sk_c4) = multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c4), multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4))),
% 1.07/0.98      inference(unit_resolution,[status(thm)],[1180, 7])).
% 1.07/0.98  tff(1182,plain,
% 1.07/0.98      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, sk_c6))),
% 1.07/0.98      inference(monotonicity,[status(thm)],[430])).
% 1.07/0.98  tff(1183,plain,
% 1.07/0.98      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))),
% 1.07/0.98      inference(symmetry,[status(thm)],[1182])).
% 1.07/0.98  tff(1184,plain,
% 1.07/0.98      (multiply(sk_c5, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))),
% 1.07/0.98      inference(transitivity,[status(thm)],[403, 857, 856, 853, 1183])).
% 1.07/0.98  tff(1185,plain,
% 1.07/0.98      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c6) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), sk_c6)),
% 1.07/0.98      inference(monotonicity,[status(thm)],[1184])).
% 1.07/0.98  tff(1186,plain,
% 1.07/0.98      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), sk_c6) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c6)),
% 1.07/0.98      inference(symmetry,[status(thm)],[1185])).
% 1.07/0.98  tff(1187,plain,
% 1.07/0.98      (multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = multiply(sk_c6, multiply(sk_c5, sk_c6))),
% 1.07/0.98      inference(monotonicity,[status(thm)],[430])).
% 1.07/0.98  tff(1188,plain,
% 1.07/0.98      (multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))) = sk_c6),
% 1.07/0.98      inference(transitivity,[status(thm)],[1187, 463, 461, 459, 388])).
% 1.07/0.98  tff(1189,plain,
% 1.07/0.98      (multiply(multiply(sk_c6, multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))), sk_c6) = multiply(sk_c6, sk_c6)),
% 1.07/0.98      inference(monotonicity,[status(thm)],[1188])).
% 1.07/0.98  tff(1190,plain,
% 1.07/0.98      (multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6)) = multiply(sk_c5, sk_c8)),
% 1.07/0.98      inference(transitivity,[status(thm)],[993, 1189, 864, 989, 868, 988, 872])).
% 1.07/0.98  tff(1191,plain,
% 1.07/0.98      (multiply(sk_c6, multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6))) = multiply(multiply(sk_c7, sk_c8), multiply(sk_c5, sk_c8))),
% 1.07/0.98      inference(monotonicity,[status(thm)],[389, 1190])).
% 1.07/0.98  tff(1192,plain,
% 1.07/0.98      (multiply(multiply(sk_c7, sk_c8), multiply(sk_c5, sk_c8)) = multiply(sk_c6, multiply(sk_c6, multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6)))),
% 1.07/0.98      inference(symmetry,[status(thm)],[1191])).
% 1.07/0.98  tff(1193,plain,
% 1.07/0.98      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8)),
% 1.07/0.98      inference(transitivity,[status(thm)],[684, 512, 511, 510, 18, 456, 998, 997, 1192, 987, 984, 982, 1186, 977, 975, 972])).
% 1.07/0.98  tff(1194,plain,
% 1.07/0.98      (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8))),
% 1.07/0.98      inference(monotonicity,[status(thm)],[1193])).
% 1.07/0.98  tff(1195,plain,
% 1.07/0.98      (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.98      inference(monotonicity,[status(thm)],[1163])).
% 1.07/0.98  tff(1196,plain,
% 1.07/0.98      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c4), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))))),
% 1.07/0.98      inference(quant_inst,[status(thm)],[])).
% 1.07/0.98  tff(1197,plain,
% 1.07/0.98      (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c4), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))))),
% 1.07/0.98      inference(unit_resolution,[status(thm)],[1196, 7])).
% 1.07/0.98  tff(1198,plain,
% 1.07/0.98      (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c4), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = identity),
% 1.07/0.98      inference(transitivity,[status(thm)],[1197, 1195, 1194, 1002, 1005, 1018, 1020, 1023, 1025, 429, 467, 433, 436, 443, 100])).
% 1.07/0.98  tff(1199,plain,
% 1.07/0.98      (multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c4), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), sk_c4) = multiply(identity, sk_c4)),
% 1.07/0.98      inference(monotonicity,[status(thm)],[1198])).
% 1.07/0.98  tff(1200,plain,
% 1.07/0.98      (multiply(identity, sk_c4) = multiply(multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), sk_c4), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), sk_c4)),
% 1.07/0.98      inference(symmetry,[status(thm)],[1199])).
% 1.07/0.98  tff(1201,plain,
% 1.07/0.98      (multiply(identity, sk_c4) = multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), sk_c4)),
% 1.07/0.98      inference(monotonicity,[status(thm)],[1177])).
% 1.07/0.98  tff(1202,plain,
% 1.07/0.98      (multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), sk_c4) = multiply(identity, sk_c4)),
% 1.07/0.98      inference(symmetry,[status(thm)],[1201])).
% 1.07/0.98  tff(1203,plain,
% 1.07/0.98      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), sk_c4) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, sk_c4)))),
% 1.07/0.98      inference(quant_inst,[status(thm)],[])).
% 1.07/0.98  tff(1204,plain,
% 1.07/0.98      (multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), sk_c4) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, sk_c4))),
% 1.07/0.98      inference(unit_resolution,[status(thm)],[1203, 7])).
% 1.07/0.98  tff(1205,plain,
% 1.07/0.98      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, sk_c4)) = multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), sk_c4)),
% 1.07/0.98      inference(symmetry,[status(thm)],[1204])).
% 1.07/0.98  tff(1206,plain,
% 1.07/0.98      ((~![X: $i] : (multiply(identity, X) = X)) | (multiply(identity, sk_c4) = sk_c4)),
% 1.07/0.98      inference(quant_inst,[status(thm)],[])).
% 1.07/0.98  tff(1207,plain,
% 1.07/0.98      (multiply(identity, sk_c4) = sk_c4),
% 1.07/0.98      inference(unit_resolution,[status(thm)],[1206, 16])).
% 1.07/0.98  tff(1208,plain,
% 1.07/0.98      (multiply(sk_c4, multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.07/0.98      inference(symmetry,[status(thm)],[746])).
% 1.07/0.98  tff(1209,plain,
% 1.07/0.98      (multiply(sk_c4, identity) = identity),
% 1.07/0.98      inference(transitivity,[status(thm)],[743, 1208, 1164, 740, 562, 410, 560, 415, 100])).
% 1.07/0.98  tff(1210,plain,
% 1.07/0.98      (multiply(multiply(sk_c4, identity), sk_c4) = multiply(identity, sk_c4)),
% 1.07/0.98      inference(monotonicity,[status(thm)],[1209])).
% 1.07/0.98  tff(1211,plain,
% 1.07/0.98      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, identity), sk_c4) = multiply(sk_c4, multiply(identity, sk_c4)))),
% 1.07/0.98      inference(quant_inst,[status(thm)],[])).
% 1.07/0.98  tff(1212,plain,
% 1.07/0.98      (multiply(multiply(sk_c4, identity), sk_c4) = multiply(sk_c4, multiply(identity, sk_c4))),
% 1.07/0.99      inference(unit_resolution,[status(thm)],[1211, 7])).
% 1.07/0.99  tff(1213,plain,
% 1.07/0.99      (multiply(sk_c4, multiply(identity, sk_c4)) = multiply(multiply(sk_c4, identity), sk_c4)),
% 1.07/0.99      inference(symmetry,[status(thm)],[1212])).
% 1.07/0.99  tff(1214,plain,
% 1.07/0.99      (sk_c4 = multiply(identity, sk_c4)),
% 1.07/0.99      inference(symmetry,[status(thm)],[1207])).
% 1.07/0.99  tff(1215,plain,
% 1.07/0.99      (multiply(sk_c4, sk_c4) = multiply(sk_c4, multiply(identity, sk_c4))),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1214])).
% 1.07/0.99  tff(1216,plain,
% 1.07/0.99      (multiply(sk_c4, sk_c4) = sk_c4),
% 1.07/0.99      inference(transitivity,[status(thm)],[1215, 1213, 1210, 1207])).
% 1.07/0.99  tff(1217,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, sk_c4)) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4)),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1216])).
% 1.07/0.99  tff(1218,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, sk_c4))),
% 1.07/0.99      inference(symmetry,[status(thm)],[1217])).
% 1.07/0.99  tff(1219,plain,
% 1.07/0.99      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = inverse(sk_c8)),
% 1.07/0.99      inference(transitivity,[status(thm)],[562, 410, 560, 415, 100, 98, 1176, 1218, 1205, 1202, 1200, 1181, 1179, 1171, 1169, 738, 736, 734, 484, 472, 470, 463, 461, 459, 388, 232])).
% 1.07/0.99  tff(1220,plain,
% 1.07/0.99      ((multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7) <=> (inverse(sk_c8) = sk_c7)),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1219])).
% 1.07/0.99  tff(1221,plain,
% 1.07/0.99      ((multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7) <=> (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.07/0.99      inference(transitivity,[status(thm)],[1220, 732, 453])).
% 1.07/0.99  tff(1222,plain,
% 1.07/0.99      (multiply(sk_c5, sk_c6) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4)),
% 1.07/0.99      inference(transitivity,[status(thm)],[429, 467, 433, 436, 443, 100, 98, 1176])).
% 1.07/0.99  tff(1223,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, sk_c6), sk_c7) = multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), sk_c7)),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1222])).
% 1.07/0.99  tff(1224,plain,
% 1.07/0.99      (multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), sk_c7) = multiply(multiply(sk_c5, sk_c6), sk_c7)),
% 1.07/0.99      inference(symmetry,[status(thm)],[1223])).
% 1.07/0.99  tff(1225,plain,
% 1.07/0.99      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, sk_c7)))),
% 1.07/0.99      inference(quant_inst,[status(thm)],[])).
% 1.07/0.99  tff(1226,plain,
% 1.07/0.99      (multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, sk_c7))),
% 1.07/0.99      inference(unit_resolution,[status(thm)],[1225, 7])).
% 1.07/0.99  tff(1227,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, sk_c7)) = multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), sk_c7)),
% 1.07/0.99      inference(symmetry,[status(thm)],[1226])).
% 1.07/0.99  tff(1228,plain,
% 1.07/0.99      (multiply(multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1163])).
% 1.07/0.99  tff(1229,plain,
% 1.07/0.99      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(sk_c4, multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))))),
% 1.07/0.99      inference(quant_inst,[status(thm)],[])).
% 1.07/0.99  tff(1230,plain,
% 1.07/0.99      (multiply(multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(sk_c4, multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))))),
% 1.07/0.99      inference(unit_resolution,[status(thm)],[1229, 7])).
% 1.07/0.99  tff(1231,plain,
% 1.07/0.99      (multiply(sk_c4, multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))) = multiply(multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.99      inference(symmetry,[status(thm)],[1230])).
% 1.07/0.99  tff(1232,plain,
% 1.07/0.99      (multiply(sk_c5, multiply(sk_c6, sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.99      inference(symmetry,[status(thm)],[728])).
% 1.07/0.99  tff(1233,plain,
% 1.07/0.99      (sk_c7 = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.99      inference(transitivity,[status(thm)],[142, 486, 489, 1232])).
% 1.07/0.99  tff(1234,plain,
% 1.07/0.99      (multiply(sk_c4, sk_c7) = multiply(sk_c4, multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))))),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1233])).
% 1.07/0.99  tff(1235,plain,
% 1.07/0.99      (multiply(sk_c4, sk_c7) = sk_c7),
% 1.07/0.99      inference(transitivity,[status(thm)],[1234, 1231, 1228, 728, 490, 487, 57])).
% 1.07/0.99  tff(1236,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, sk_c7)) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7)),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1235])).
% 1.07/0.99  tff(1237,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, sk_c7))),
% 1.07/0.99      inference(symmetry,[status(thm)],[1236])).
% 1.07/0.99  tff(1238,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = multiply(sk_c8, sk_c7)),
% 1.07/0.99      inference(monotonicity,[status(thm)],[739])).
% 1.07/0.99  tff(1239,plain,
% 1.07/0.99      (multiply(sk_c8, sk_c7) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7)),
% 1.07/0.99      inference(symmetry,[status(thm)],[1238])).
% 1.07/0.99  tff(1240,plain,
% 1.07/0.99      (multiply(sk_c6, sk_c7) = sk_c8),
% 1.07/0.99      inference(transitivity,[status(thm)],[495, 498, 501, 505, 686, 689, 724, 682])).
% 1.07/0.99  tff(1241,plain,
% 1.07/0.99      (multiply(sk_c7, multiply(sk_c6, sk_c7)) = multiply(sk_c7, sk_c8)),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1240])).
% 1.07/0.99  tff(1242,plain,
% 1.07/0.99      (multiply(sk_c7, sk_c8) = multiply(sk_c7, multiply(sk_c6, sk_c7))),
% 1.07/0.99      inference(symmetry,[status(thm)],[1241])).
% 1.07/0.99  tff(1243,plain,
% 1.07/0.99      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7),
% 1.07/0.99      inference(transitivity,[status(thm)],[562, 410, 560, 415, 100, 98, 1176, 1218, 1205, 1202, 1200, 1181, 1179, 1171, 1169, 738, 736, 734, 484, 472, 470, 463, 461, 459, 1242, 1114, 1113, 1239, 1237, 1227, 1224, 487, 57])).
% 1.07/0.99  tff(1244,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 1.07/0.99      inference(modus_ponens,[status(thm)],[1243, 1221])).
% 1.07/0.99  tff(1245,plain,
% 1.07/0.99      ((multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8) <=> (multiply(sk_c8, sk_c7) = sk_c8)),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1238])).
% 1.07/0.99  tff(1246,plain,
% 1.07/0.99      ((multiply(sk_c8, sk_c7) = sk_c8) <=> (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)),
% 1.07/0.99      inference(symmetry,[status(thm)],[1245])).
% 1.07/0.99  tff(1247,plain,
% 1.07/0.99      (multiply(sk_c8, sk_c7) = inverse(sk_c8)),
% 1.07/0.99      inference(transitivity,[status(thm)],[630, 629, 1241, 388, 232])).
% 1.07/0.99  tff(1248,plain,
% 1.07/0.99      ((multiply(sk_c8, sk_c7) = sk_c8) <=> (inverse(sk_c8) = sk_c8)),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1247])).
% 1.07/0.99  tff(1249,plain,
% 1.07/0.99      ((inverse(sk_c8) = sk_c8) <=> (multiply(sk_c8, sk_c7) = sk_c8)),
% 1.07/0.99      inference(symmetry,[status(thm)],[1248])).
% 1.07/0.99  tff(1250,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c4, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1163])).
% 1.07/0.99  tff(1251,plain,
% 1.07/0.99      (multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4)),
% 1.07/0.99      inference(transitivity,[status(thm)],[467, 433, 436, 443, 100, 98, 1176])).
% 1.07/0.99  tff(1252,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, identity)) = multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c4), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1251, 418])).
% 1.07/0.99  tff(1253,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, sk_c6), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))) = multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, identity))),
% 1.07/0.99      inference(monotonicity,[status(thm)],[429, 1068])).
% 1.07/0.99  tff(1254,plain,
% 1.07/0.99      (sk_c8 = sk_c7),
% 1.07/0.99      inference(transitivity,[status(thm)],[196, 446, 422, 420, 418, 618, 1253, 1252, 592, 1250, 728, 490, 487, 57])).
% 1.07/0.99  tff(1255,plain,
% 1.07/0.99      ((inverse(sk_c8) = sk_c8) <=> (inverse(sk_c8) = sk_c7)),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1254])).
% 1.07/0.99  tff(1256,plain,
% 1.07/0.99      ((inverse(sk_c8) = sk_c7) <=> (inverse(sk_c8) = sk_c8)),
% 1.07/0.99      inference(symmetry,[status(thm)],[1255])).
% 1.07/0.99  tff(1257,plain,
% 1.07/0.99      ((multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7) <=> (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)),
% 1.07/0.99      inference(transitivity,[status(thm)],[1220, 1256, 1249, 1246])).
% 1.07/0.99  tff(1258,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8),
% 1.07/0.99      inference(modus_ponens,[status(thm)],[1243, 1257])).
% 1.07/0.99  tff(1259,plain,
% 1.07/0.99      (inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = inverse(sk_c8)),
% 1.07/0.99      inference(monotonicity,[status(thm)],[739])).
% 1.07/0.99  tff(1260,plain,
% 1.07/0.99      ((inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7) <=> (inverse(sk_c8) = sk_c7)),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1259])).
% 1.07/0.99  tff(1261,plain,
% 1.07/0.99      ((inverse(sk_c8) = sk_c7) <=> (inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)),
% 1.07/0.99      inference(symmetry,[status(thm)],[1260])).
% 1.07/0.99  tff(1262,plain,
% 1.07/0.99      ((multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7) <=> (inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)),
% 1.07/0.99      inference(transitivity,[status(thm)],[1220, 1261])).
% 1.07/0.99  tff(1263,plain,
% 1.07/0.99      (inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7),
% 1.07/0.99      inference(modus_ponens,[status(thm)],[1243, 1262])).
% 1.07/0.99  tff(1264,plain,
% 1.07/0.99      (multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)) = identity),
% 1.07/0.99      inference(transitivity,[status(thm)],[467, 433, 436, 443, 100])).
% 1.07/0.99  tff(1265,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6) = multiply(identity, sk_c6)),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1264])).
% 1.07/0.99  tff(1266,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))),
% 1.07/0.99      inference(transitivity,[status(thm)],[1020, 1023, 1025, 429])).
% 1.07/0.99  tff(1267,plain,
% 1.07/0.99      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c6) = multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), sk_c6)),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1266])).
% 1.07/0.99  tff(1268,plain,
% 1.07/0.99      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c6) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c6)))),
% 1.07/0.99      inference(quant_inst,[status(thm)],[])).
% 1.07/0.99  tff(1269,plain,
% 1.07/0.99      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c6) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c6))),
% 1.07/0.99      inference(unit_resolution,[status(thm)],[1268, 7])).
% 1.07/0.99  tff(1270,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c6)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c7, sk_c6))), sk_c6)),
% 1.07/0.99      inference(symmetry,[status(thm)],[1269])).
% 1.07/0.99  tff(1271,plain,
% 1.07/0.99      (multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c6)),
% 1.07/0.99      inference(transitivity,[status(thm)],[971, 974, 976])).
% 1.07/0.99  tff(1272,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c6))),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1271])).
% 1.07/0.99  tff(1273,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), multiply(sk_c6, multiply(sk_c5, multiply(sk_c7, sk_c6)))) = multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8)),
% 1.07/0.99      inference(monotonicity,[status(thm)],[555, 405])).
% 1.07/0.99  tff(1274,plain,
% 1.07/0.99      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c6), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), multiply(sk_c6, multiply(sk_c5, multiply(sk_c7, sk_c6)))))),
% 1.07/0.99      inference(quant_inst,[status(thm)],[])).
% 1.07/0.99  tff(1275,plain,
% 1.07/0.99      (multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c6), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), multiply(sk_c6, multiply(sk_c5, multiply(sk_c7, sk_c6))))),
% 1.07/0.99      inference(unit_resolution,[status(thm)],[1274, 7])).
% 1.07/0.99  tff(1276,plain,
% 1.07/0.99      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c6) = multiply(sk_c5, multiply(multiply(sk_c8, sk_c7), sk_c6)))),
% 1.07/0.99      inference(quant_inst,[status(thm)],[])).
% 1.07/0.99  tff(1277,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c6) = multiply(sk_c5, multiply(multiply(sk_c8, sk_c7), sk_c6))),
% 1.07/0.99      inference(unit_resolution,[status(thm)],[1276, 7])).
% 1.07/0.99  tff(1278,plain,
% 1.07/0.99      (multiply(sk_c5, multiply(multiply(sk_c8, sk_c7), sk_c6)) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c6)),
% 1.07/0.99      inference(symmetry,[status(thm)],[1277])).
% 1.07/0.99  tff(1279,plain,
% 1.07/0.99      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c8, sk_c7), sk_c6) = multiply(sk_c8, multiply(sk_c7, sk_c6)))),
% 1.07/0.99      inference(quant_inst,[status(thm)],[])).
% 1.07/0.99  tff(1280,plain,
% 1.07/0.99      (multiply(multiply(sk_c8, sk_c7), sk_c6) = multiply(sk_c8, multiply(sk_c7, sk_c6))),
% 1.07/0.99      inference(unit_resolution,[status(thm)],[1279, 7])).
% 1.07/0.99  tff(1281,plain,
% 1.07/0.99      (multiply(multiply(sk_c8, sk_c7), sk_c6) = multiply(sk_c8, sk_c8)),
% 1.07/0.99      inference(transitivity,[status(thm)],[1280, 464])).
% 1.07/0.99  tff(1282,plain,
% 1.07/0.99      (multiply(sk_c5, multiply(multiply(sk_c8, sk_c7), sk_c6)) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1281])).
% 1.07/0.99  tff(1283,plain,
% 1.07/0.99      (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(sk_c5, multiply(multiply(sk_c8, sk_c7), sk_c6))),
% 1.07/0.99      inference(symmetry,[status(thm)],[1282])).
% 1.07/0.99  tff(1284,plain,
% 1.07/0.99      (multiply(sk_c5, multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c6)),
% 1.07/0.99      inference(transitivity,[status(thm)],[1283, 1278])).
% 1.07/0.99  tff(1285,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), sk_c6), multiply(sk_c5, multiply(sk_c7, sk_c6)))),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1284])).
% 1.07/0.99  tff(1286,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8)),
% 1.07/0.99      inference(transitivity,[status(thm)],[1285, 1275, 1273])).
% 1.07/0.99  tff(1287,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c5, multiply(sk_c7, sk_c6)))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(multiply(sk_c5, sk_c8), sk_c7), sk_c8))),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1286])).
% 1.07/0.99  tff(1288,plain,
% 1.07/0.99      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c5, multiply(sk_c7, sk_c6)))))),
% 1.07/0.99      inference(quant_inst,[status(thm)],[])).
% 1.07/0.99  tff(1289,plain,
% 1.07/0.99      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c5, multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(multiply(sk_c5, multiply(sk_c8, sk_c8)), multiply(sk_c5, multiply(sk_c7, sk_c6))))),
% 1.07/0.99      inference(unit_resolution,[status(thm)],[1288, 7])).
% 1.07/0.99  tff(1290,plain,
% 1.07/0.99      (multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))), sk_c8) = multiply(multiply(sk_c6, sk_c7), sk_c8)),
% 1.07/0.99      inference(monotonicity,[status(thm)],[668])).
% 1.07/0.99  tff(1291,plain,
% 1.07/0.99      (multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))), sk_c8) = multiply(sk_c5, multiply(sk_c7, sk_c6))),
% 1.07/0.99      inference(transitivity,[status(thm)],[1290, 1009, 1007, 864, 989, 868, 988, 872, 552])).
% 1.07/0.99  tff(1292,plain,
% 1.07/0.99      (multiply(sk_c5, identity) = multiply(sk_c5, multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 1.07/0.99      inference(symmetry,[status(thm)],[1067])).
% 1.07/0.99  tff(1293,plain,
% 1.07/0.99      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.07/0.99      inference(transitivity,[status(thm)],[684, 1292, 609, 606])).
% 1.07/0.99  tff(1294,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))), sk_c8)) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))), multiply(sk_c5, multiply(sk_c7, sk_c6)))),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1293, 1291])).
% 1.07/0.99  tff(1295,plain,
% 1.07/0.99      (multiply(multiply(sk_c6, sk_c7), sk_c8) = multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))), sk_c8)),
% 1.07/0.99      inference(symmetry,[status(thm)],[1290])).
% 1.07/0.99  tff(1296,plain,
% 1.07/0.99      (multiply(sk_c6, multiply(sk_c7, sk_c8)) = multiply(multiply(sk_c6, sk_c7), sk_c8)),
% 1.07/0.99      inference(symmetry,[status(thm)],[1009])).
% 1.07/0.99  tff(1297,plain,
% 1.07/0.99      (multiply(sk_c6, sk_c6) = multiply(sk_c6, multiply(sk_c7, sk_c8))),
% 1.07/0.99      inference(symmetry,[status(thm)],[1007])).
% 1.07/0.99  tff(1298,plain,
% 1.07/0.99      (multiply(sk_c5, multiply(sk_c8, multiply(sk_c5, sk_c6))) = multiply(sk_c5, sk_c8)),
% 1.07/0.99      inference(symmetry,[status(thm)],[857])).
% 1.07/0.99  tff(1299,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c5, sk_c8), multiply(sk_c5, sk_c6))),
% 1.07/0.99      inference(symmetry,[status(thm)],[853])).
% 1.07/0.99  tff(1300,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c6))))),
% 1.07/0.99      inference(monotonicity,[status(thm)],[468])).
% 1.07/0.99  tff(1301,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c6)))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, sk_c6))),
% 1.07/0.99      inference(symmetry,[status(thm)],[1300])).
% 1.07/0.99  tff(1302,plain,
% 1.07/0.99      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c6)))))),
% 1.07/0.99      inference(quant_inst,[status(thm)],[])).
% 1.07/0.99  tff(1303,plain,
% 1.07/0.99      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c7, multiply(sk_c8, multiply(sk_c7, sk_c6))))),
% 1.07/0.99      inference(unit_resolution,[status(thm)],[1302, 7])).
% 1.07/0.99  tff(1304,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7) = multiply(sk_c5, multiply(sk_c8, sk_c7))),
% 1.07/0.99      inference(transitivity,[status(thm)],[500, 504])).
% 1.07/0.99  tff(1305,plain,
% 1.07/0.99      (multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), multiply(sk_c8, multiply(sk_c7, sk_c6)))),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1304])).
% 1.07/0.99  tff(1306,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), multiply(sk_c8, multiply(sk_c7, sk_c6))) = multiply(multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c6)))),
% 1.07/0.99      inference(symmetry,[status(thm)],[1305])).
% 1.07/0.99  tff(1307,plain,
% 1.07/0.99      (multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), multiply(sk_c8, multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c6)))),
% 1.07/0.99      inference(monotonicity,[status(thm)],[721])).
% 1.07/0.99  tff(1308,plain,
% 1.07/0.99      (multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c5, multiply(sk_c8, sk_c7)), multiply(sk_c8, multiply(sk_c7, sk_c6)))),
% 1.07/0.99      inference(symmetry,[status(thm)],[1307])).
% 1.07/0.99  tff(1309,plain,
% 1.07/0.99      (multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, sk_c8))),
% 1.07/0.99      inference(monotonicity,[status(thm)],[464])).
% 1.07/0.99  tff(1310,plain,
% 1.07/0.99      (multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, sk_c8)) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, multiply(sk_c7, sk_c6)))),
% 1.07/0.99      inference(symmetry,[status(thm)],[1309])).
% 1.07/0.99  tff(1311,plain,
% 1.07/0.99      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(sk_c7, sk_c7), sk_c8), sk_c8) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, sk_c8)))),
% 1.07/0.99      inference(quant_inst,[status(thm)],[])).
% 1.07/0.99  tff(1312,plain,
% 1.07/0.99      (multiply(multiply(multiply(sk_c7, sk_c7), sk_c8), sk_c8) = multiply(multiply(sk_c7, sk_c7), multiply(sk_c8, sk_c8))),
% 1.07/0.99      inference(unit_resolution,[status(thm)],[1311, 7])).
% 1.07/0.99  tff(1313,plain,
% 1.07/0.99      (multiply(sk_c7, multiply(sk_c7, sk_c8)) = multiply(sk_c7, sk_c6)),
% 1.07/0.99      inference(monotonicity,[status(thm)],[388])).
% 1.07/0.99  tff(1314,plain,
% 1.07/0.99      ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(sk_c7, sk_c7), sk_c8) = multiply(sk_c7, multiply(sk_c7, sk_c8)))),
% 1.07/0.99      inference(quant_inst,[status(thm)],[])).
% 1.07/0.99  tff(1315,plain,
% 1.07/0.99      (multiply(multiply(sk_c7, sk_c7), sk_c8) = multiply(sk_c7, multiply(sk_c7, sk_c8))),
% 1.07/0.99      inference(unit_resolution,[status(thm)],[1314, 7])).
% 1.07/0.99  tff(1316,plain,
% 1.07/0.99      (multiply(multiply(sk_c7, sk_c7), sk_c8) = sk_c8),
% 1.07/0.99      inference(transitivity,[status(thm)],[1315, 1313, 394])).
% 1.07/0.99  tff(1317,plain,
% 1.07/0.99      (multiply(multiply(multiply(sk_c7, sk_c7), sk_c8), sk_c8) = multiply(sk_c8, sk_c8)),
% 1.07/0.99      inference(monotonicity,[status(thm)],[1316])).
% 1.07/0.99  tff(1318,plain,
% 1.07/0.99      (multiply(sk_c8, sk_c8) = multiply(multiply(multiply(sk_c7, sk_c7), sk_c8), sk_c8)),
% 1.07/0.99      inference(symmetry,[status(thm)],[1317])).
% 1.07/0.99  tff(1319,plain,
% 1.07/0.99      (multiply(sk_c8, multiply(sk_c7, sk_c6)) = multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))), sk_c8)),
% 1.07/0.99      inference(transitivity,[status(thm)],[464, 1318, 1312, 1310, 1308, 1306, 1303, 1301, 1299, 855, 1298, 873, 871, 869, 867, 865, 1297, 1296, 1295])).
% 1.07/0.99  tff(1320,plain,
% 1.07/0.99      (multiply(sk_c8, multiply(sk_c8, multiply(sk_c7, sk_c6))) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(multiply(sk_c6, multiply(sk_c7, multiply(sk_c6, sk_c5))), sk_c8))),
% 1.07/0.99      inference(monotonicity,[status(thm)],[447, 1319])).
% 1.07/1.00  tff(1321,plain,
% 1.07/1.00      (multiply(sk_c8, multiply(sk_c8, multiply(sk_c7, sk_c6))) = inverse(sk_c8)),
% 1.07/1.00      inference(transitivity,[status(thm)],[1320, 1294, 1289, 1287, 1272, 1270, 1267, 1265, 371, 232])).
% 1.07/1.00  tff(1322,plain,
% 1.07/1.00      ((multiply(sk_c8, multiply(sk_c8, multiply(sk_c7, sk_c6))) = sk_c7) <=> (inverse(sk_c8) = sk_c7)),
% 1.07/1.00      inference(monotonicity,[status(thm)],[1321])).
% 1.07/1.00  tff(1323,plain,
% 1.07/1.00      ((inverse(sk_c8) = sk_c7) <=> (multiply(sk_c8, multiply(sk_c8, multiply(sk_c7, sk_c6))) = sk_c7)),
% 1.07/1.00      inference(symmetry,[status(thm)],[1322])).
% 1.07/1.00  tff(1324,plain,
% 1.07/1.00      ((multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7) <=> (multiply(sk_c8, multiply(sk_c8, multiply(sk_c7, sk_c6))) = sk_c7)),
% 1.07/1.00      inference(transitivity,[status(thm)],[1220, 1323])).
% 1.07/1.00  tff(1325,plain,
% 1.07/1.00      (multiply(sk_c8, multiply(sk_c8, multiply(sk_c7, sk_c6))) = sk_c7),
% 1.07/1.00      inference(modus_ponens,[status(thm)],[1243, 1324])).
% 1.07/1.00  tff(1326,plain,
% 1.07/1.00      ((inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8) <=> (inverse(sk_c8) = sk_c8)),
% 1.07/1.00      inference(monotonicity,[status(thm)],[1259])).
% 1.07/1.00  tff(1327,plain,
% 1.07/1.00      ((inverse(sk_c8) = sk_c8) <=> (inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8)),
% 1.07/1.00      inference(symmetry,[status(thm)],[1326])).
% 1.07/1.00  tff(1328,plain,
% 1.07/1.00      ((multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7) <=> (inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8)),
% 1.07/1.00      inference(transitivity,[status(thm)],[1220, 1256, 1327])).
% 1.07/1.00  tff(1329,plain,
% 1.07/1.00      (inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8),
% 1.07/1.00      inference(modus_ponens,[status(thm)],[1243, 1328])).
% 1.07/1.00  tff(1330,plain,
% 1.07/1.00      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c8, multiply(sk_c7, sk_c6))),
% 1.07/1.00      inference(transitivity,[status(thm)],[450, 449, 570])).
% 1.07/1.00  tff(1331,plain,
% 1.07/1.00      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c8, multiply(sk_c7, sk_c6)))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c7, sk_c6))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c8, multiply(sk_c7, sk_c6)))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c7, sk_c6))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.07/1.00      inference(rewrite,[status(thm)],[])).
% 1.07/1.00  tff(1332,plain,
% 1.07/1.00      (((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c8, multiply(sk_c7, sk_c6)))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c7, sk_c6))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8))) <=> ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c8, multiply(sk_c7, sk_c6)))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c7, sk_c6))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.07/1.00      inference(rewrite,[status(thm)],[])).
% 1.07/1.00  tff(1333,plain,
% 1.07/1.00      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c8, multiply(sk_c7, sk_c6)))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c7, sk_c6))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c8, multiply(sk_c7, sk_c6)))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c7, sk_c6))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.07/1.00      inference(monotonicity,[status(thm)],[1332])).
% 1.07/1.00  tff(1334,plain,
% 1.07/1.00      (((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c8, multiply(sk_c7, sk_c6)))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c7, sk_c6))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)))) <=> ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c8, multiply(sk_c7, sk_c6)))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c7, sk_c6))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.14/1.00      inference(transitivity,[status(thm)],[1333, 1331])).
% 1.14/1.00  tff(1335,plain,
% 1.14/1.00      ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c8, multiply(sk_c7, sk_c6)))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c7, sk_c6))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)))),
% 1.14/1.00      inference(quant_inst,[status(thm)],[])).
% 1.14/1.00  tff(1336,plain,
% 1.14/1.00      ((~![X4: $i, X3: $i, X2: $i, X5: $i, X1: $i] : ((~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(inverse(X2) = sk_c8)) | (~(multiply(X2, sk_c8) = X1)) | (~(multiply(sk_c8, X1) = sk_c7)) | (~(inverse(X5) = sk_c8)) | (~(multiply(X5, sk_c8) = X4)) | (~(multiply(sk_c8, X4) = sk_c7)) | (~(inverse(X3) = sk_c7)) | (~(multiply(X3, sk_c7) = sk_c8)))) | (~(multiply(sk_c7, sk_c8) = sk_c6)) | (~(multiply(sk_c7, sk_c6) = sk_c8)) | (~(inverse(sk_c8) = sk_c6)) | (~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c8, multiply(sk_c7, sk_c6)))) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c7, sk_c6))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 1.14/1.00      inference(modus_ponens,[status(thm)],[1335, 1334])).
% 1.14/1.00  tff(1337,plain,
% 1.14/1.00      ((~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c8)) | (~(multiply(sk_c8, multiply(sk_c8, multiply(sk_c7, sk_c6))) = sk_c7)) | (~(inverse(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = sk_c7)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c7) = sk_c8)) | (~(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 1.14/1.00      inference(unit_resolution,[status(thm)],[1336, 388, 394, 231, 349, 1330])).
% 1.14/1.00  tff(1338,plain,
% 1.14/1.00      ($false),
% 1.14/1.00      inference(unit_resolution,[status(thm)],[1337, 1329, 1243, 1325, 1263, 1258, 1244])).
% 1.14/1.00  tff(1339,plain,(~(inverse(sk_c4) = sk_c8)), inference(lemma,lemma(discharge,[]))).
% 1.14/1.00  tff(1340,plain,
% 1.14/1.00      (((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c8))),
% 1.14/1.00      inference(rewrite,[status(thm)],[])).
% 1.14/1.00  tff(1341,axiom,((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_15')).
% 1.14/1.00  tff(1342,plain,
% 1.14/1.00      ((inverse(sk_c1) = sk_c7) | (inverse(sk_c4) = sk_c8)),
% 1.14/1.00      inference(modus_ponens,[status(thm)],[1341, 1340])).
% 1.14/1.00  tff(1343,plain,
% 1.14/1.00      (inverse(sk_c1) = sk_c7),
% 1.14/1.00      inference(unit_resolution,[status(thm)],[1342, 1339])).
% 1.14/1.00  tff(1344,plain,
% 1.14/1.00      (inverse(multiply(identity, sk_c1)) = sk_c7),
% 1.14/1.00      inference(transitivity,[status(thm)],[1076, 1343])).
% 1.14/1.00  tff(1345,plain,
% 1.14/1.00      (((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 1.14/1.00      inference(rewrite,[status(thm)],[])).
% 1.14/1.00  tff(1346,plain,
% 1.14/1.00      (((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3))),
% 1.14/1.00      inference(rewrite,[status(thm)],[])).
% 1.14/1.00  tff(1347,axiom,((multiply(sk_c2, sk_c8) = sk_c3) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_25')).
% 1.14/1.00  tff(1348,plain,
% 1.14/1.00      ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 1.14/1.00      inference(modus_ponens,[status(thm)],[1347, 1346])).
% 1.14/1.00  tff(1349,plain,
% 1.14/1.00      ((inverse(sk_c4) = sk_c8) | (multiply(sk_c2, sk_c8) = sk_c3)),
% 1.14/1.00      inference(modus_ponens,[status(thm)],[1348, 1345])).
% 1.14/1.00  tff(1350,plain,
% 1.14/1.00      (multiply(sk_c2, sk_c8) = sk_c3),
% 1.14/1.00      inference(unit_resolution,[status(thm)],[1349, 1339])).
% 1.14/1.00  tff(1351,plain,
% 1.14/1.00      (multiply(sk_c2, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))) = multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8)))))),
% 1.14/1.00      inference(transitivity,[status(thm)],[1051, 1350, 1031, 1028, 970, 968, 903, 845, 843, 814, 812, 809, 802, 800, 798, 796, 793, 785, 783, 495, 498, 501, 777, 775, 689, 770, 682, 196, 772, 422, 420, 418])).
% 1.14/1.01  tff(1352,plain,
% 1.14/1.01      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c2, multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.14/1.01      inference(monotonicity,[status(thm)],[1351])).
% 1.14/1.01  tff(1353,plain,
% 1.14/1.01      (((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)) <=> ((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8))),
% 1.14/1.01      inference(rewrite,[status(thm)],[])).
% 1.14/1.01  tff(1354,axiom,((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this_30')).
% 1.14/1.01  tff(1355,plain,
% 1.14/1.01      ((inverse(sk_c2) = sk_c8) | (inverse(sk_c4) = sk_c8)),
% 1.14/1.01      inference(modus_ponens,[status(thm)],[1354, 1353])).
% 1.14/1.01  tff(1356,plain,
% 1.14/1.01      (inverse(sk_c2) = sk_c8),
% 1.14/1.01      inference(unit_resolution,[status(thm)],[1355, 1339])).
% 1.14/1.01  tff(1357,plain,
% 1.14/1.01      (sk_c8 = inverse(sk_c2)),
% 1.14/1.01      inference(symmetry,[status(thm)],[1356])).
% 1.14/1.01  tff(1358,plain,
% 1.14/1.01      (multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))) = inverse(sk_c2)),
% 1.14/1.01      inference(transitivity,[status(thm)],[684, 512, 511, 773, 18, 1357])).
% 1.14/1.01  tff(1359,plain,
% 1.14/1.01      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c2) = multiply(inverse(sk_c2), sk_c2)),
% 1.14/1.01      inference(monotonicity,[status(thm)],[1358])).
% 1.14/1.01  tff(1360,plain,
% 1.14/1.01      (multiply(inverse(sk_c2), sk_c2) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c2)),
% 1.14/1.01      inference(symmetry,[status(thm)],[1359])).
% 1.14/1.01  tff(1361,plain,
% 1.14/1.01      (multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)) = multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c2)),
% 1.14/1.01      inference(transitivity,[status(thm)],[467, 1042, 436, 1041, 100, 36, 1360])).
% 1.14/1.01  tff(1362,plain,
% 1.14/1.01      (multiply(multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)), multiply(sk_c5, identity)) = multiply(multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), sk_c2), multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))))),
% 1.14/1.01      inference(monotonicity,[status(thm)],[1361, 418])).
% 1.14/1.01  tff(1363,plain,
% 1.14/1.01      (sk_c7 = inverse(sk_c1)),
% 1.14/1.01      inference(symmetry,[status(thm)],[1343])).
% 1.14/1.01  tff(1364,plain,
% 1.14/1.01      (sk_c7 = inverse(multiply(identity, sk_c1))),
% 1.14/1.01      inference(transitivity,[status(thm)],[1363, 1077])).
% 1.14/1.01  tff(1365,plain,
% 1.14/1.01      (multiply(sk_c7, multiply(identity, sk_c1)) = multiply(inverse(multiply(identity, sk_c1)), multiply(identity, sk_c1))),
% 1.14/1.01      inference(monotonicity,[status(thm)],[1364])).
% 1.14/1.01  tff(1366,plain,
% 1.14/1.01      (multiply(sk_c7, sk_c1) = multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6))),
% 1.14/1.01      inference(transitivity,[status(thm)],[1098, 1086, 1365, 1075, 173, 752, 437, 751, 432])).
% 1.14/1.01  tff(1367,plain,
% 1.14/1.01      (multiply(multiply(sk_c5, multiply(sk_c6, multiply(multiply(sk_c5, multiply(sk_c7, sk_c6)), multiply(sk_c5, multiply(sk_c8, sk_c8))))), multiply(sk_c7, sk_c1)) = multiply(multiply(sk_c5, identity), multiply(sk_c5, multiply(multiply(sk_c7, sk_c7), sk_c6)))),
% 1.14/1.01      inference(monotonicity,[status(thm)],[684, 1366])).
% 1.14/1.01  tff(1368,plain,
% 1.14/1.01      (multiply(inverse(multiply(identity, sk_c1)), multiply(identity, sk_c1)) = multiply(sk_c7, multiply(identity, sk_c1))),
% 1.14/1.01      inference(symmetry,[status(thm)],[1365])).
% 1.14/1.01  tff(1369,plain,
% 1.14/1.01      (multiply(sk_c5, sk_c6) = multiply(sk_c7, sk_c1)),
% 1.14/1.01      inference(transitivity,[status(thm)],[750, 467, 1042, 436, 1041, 100, 1135, 1368, 1133, 1132])).
% 1.14/1.01  tff(1370,plain,
% 1.14/1.01      (multiply(multiply(sk_c5, sk_c6), multiply(sk_c5, sk_c6)) = multiply(multiply(sk_c7, sk_c1), multiply(sk_c7, sk_c1))),
% 1.14/1.01      inference(monotonicity,[status(thm)],[1369, 1369])).
% 1.14/1.01  tff(1371,plain,
% 1.14/1.01      (multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7),
% 1.14/1.01      inference(transitivity,[status(thm)],[562, 410, 560, 415, 752, 437, 751, 432, 749, 1144, 1141, 1138, 1370, 1131, 1128, 1119, 1110, 1367, 535, 1106, 418, 618, 1069, 1362, 1055, 1352, 1050, 490, 1044, 57])).
% 1.14/1.01  tff(1372,plain,
% 1.14/1.01      (multiply(sk_c2, sk_c8) = sk_c8),
% 1.14/1.01      inference(transitivity,[status(thm)],[1350, 1031, 1028, 970, 968, 903, 845, 843, 814, 812, 809, 802, 800, 798, 796, 793, 785, 783, 495, 498, 501, 777, 775, 689, 770, 682])).
% 1.14/1.01  tff(1373,plain,
% 1.14/1.01      ((multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))) <=> (sk_c8 = inverse(sk_c8))),
% 1.14/1.01      inference(monotonicity,[status(thm)],[1372, 757])).
% 1.14/1.01  tff(1374,plain,
% 1.14/1.01      ((multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))) <=> (inverse(sk_c8) = sk_c8)),
% 1.14/1.01      inference(transitivity,[status(thm)],[1373, 747])).
% 1.14/1.01  tff(1375,plain,
% 1.14/1.01      ((inverse(sk_c8) = sk_c8) <=> (multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.14/1.01      inference(symmetry,[status(thm)],[1374])).
% 1.14/1.01  tff(1376,plain,
% 1.14/1.01      (sk_c8 = sk_c7),
% 1.14/1.01      inference(transitivity,[status(thm)],[196, 772, 422, 420, 418, 618, 1069, 1362, 1055, 1352, 1050, 490, 1044, 57])).
% 1.14/1.01  tff(1377,plain,
% 1.14/1.01      ((inverse(sk_c8) = sk_c8) <=> (inverse(sk_c8) = sk_c7)),
% 1.14/1.01      inference(monotonicity,[status(thm)],[1376])).
% 1.14/1.01  tff(1378,plain,
% 1.14/1.01      ((inverse(sk_c8) = sk_c7) <=> (inverse(sk_c8) = sk_c8)),
% 1.14/1.01      inference(symmetry,[status(thm)],[1377])).
% 1.14/1.01  tff(1379,plain,
% 1.14/1.01      ((inverse(sk_c8) = sk_c7) <=> (multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8)))),
% 1.14/1.01      inference(transitivity,[status(thm)],[1378, 1375])).
% 1.14/1.01  tff(1380,plain,
% 1.14/1.01      (multiply(sk_c7, sk_c1) = multiply(sk_c5, sk_c6)),
% 1.14/1.01      inference(transitivity,[status(thm)],[1098, 1086, 1365, 1075, 173, 752, 437, 751, 432, 749])).
% 1.14/1.01  tff(1381,plain,
% 1.14/1.01      (multiply(multiply(sk_c7, sk_c1), sk_c7) = multiply(multiply(sk_c5, sk_c6), sk_c7)),
% 1.14/1.01      inference(monotonicity,[status(thm)],[1380])).
% 1.14/1.01  tff(1382,plain,
% 1.14/1.01      (inverse(sk_c8) = sk_c7),
% 1.14/1.01      inference(transitivity,[status(thm)],[231, 389, 1101, 70, 1381, 1044, 57])).
% 1.14/1.01  tff(1383,plain,
% 1.14/1.01      (multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))),
% 1.14/1.01      inference(modus_ponens,[status(thm)],[1382, 1379])).
% 1.14/1.01  tff(1384,plain,
% 1.14/1.01      ((~(multiply(sk_c8, multiply(sk_c5, multiply(sk_c8, sk_c8))) = sk_c7)) | (~(inverse(multiply(identity, sk_c1)) = sk_c7)) | (~(multiply(sk_c2, sk_c8) = multiply(sk_c5, multiply(sk_c8, sk_c8))))),
% 1.14/1.01      inference(unit_resolution,[status(thm)],[1158, 388, 394, 231, 1356, 349, 1152])).
% 1.14/1.01  tff(1385,plain,
% 1.14/1.01      ($false),
% 1.14/1.01      inference(unit_resolution,[status(thm)],[1384, 1383, 1371, 1344])).
% 1.14/1.01  % SZS output end Proof
%------------------------------------------------------------------------------